3DEP (formerly NED) are several public domain datasets released by USGS:
All 3DEP products available through The National Map are in the public domain and may be used without restriction.
However, the USGS does request that proper credit be given when used for redistribution, resale, presentation or publication.
3DEP data courtesy of the U.S. Geological Survey
More details can be found on the NED/3DEP FAQ page, info page, and general acknowledging page.
SRTM
SRTM is a public domain dataset released as follows, circa 2000 by NASA/NGA with several updates including in 2014, now distributed by USGS:
3.15
a. Copyright protection is asserted for all products generated by these specifications which are distributed outside of the United States. No domestic copyright will be asserted.
b. The copyright notice (with year of production inserted) states:
GMTED2010 is a public domain dataset released, circa 2010 by USGS:
Access constraints:
No restrictions, All GMTED2010 data products are publically available. Any acquisition or use of these data signifies a user’s agreement to comprehension and compliance of the USGS Standard Disclaimer. Ensure all portions of metadata are read and clearly understood before using these data in order to protect both user and USGS interests. Please refer to http://www.usgs.gov/privacy.html for the USGS disclaimer.
Use constraints:
Although the USGS is making these data available to others who may find the data of value, USGS does not warrant, endorse, or recommend the use of these data for any given purpose. The user assumes the entire risk related to the use of these data. USGS is providing these data “as is”, and USGS disclaims any and all warranties, whether expressed or implied, including (without limitation) any implied warranties of merchantability or fitness for a particular purpose. In no event will USGS be liable to you or to any third party for any direct, indirect, incidental, consequential, special, or exemplary damages or lost profits resulting from any use or misuse of these data. Acknowledgement of the U.S. Geological Survey would be appreciated in products derived from these data. Any user who modifies the data is obligated to describe the types of modifications they perform. User specifically agrees not to misrepresent the data, nor to imply that changes made were approved or endorsed by the USGS.
The USGS does request that proper credit be given when used for redistribution, resale, presentation or publication.
GMTED2010 data courtesy of the U.S. Geological Survey
More details can be found on the GMTED2010 about page and Open File Report PDF, and updated home page.
ETOPO1
ETOPO1 is a public domain dataset released as follows, circa 2009 by NOAA:
Use Limitations
Not to be used for navigation. Although these data are of high quality and useful for planning and modeling purposes, they are not suitable for navigation. For navigation, please refer to the NOS nautical chart series.
Produced by the NOAA National Geophysical Data Center. Not subject to copyright protection within the United States.
While every effort has been made to ensure that these data are accurate and reliable within the limits of the current state of the art, NOAA cannot assume liability for any damages caused by any errors or omissions in the data, nor as a result of the failure of the data to function on a particular system. NOAA makes no warranty, expressed or implied, nor does the fact of distribution constitute such a warranty.
and
Copyright Notice
As required by 17 U.S.C. 403, third parties producing copyrighted works consisting predominantly of the material produced by U.S. government agencies must provide notice with such work(s) identifying the U.S. Government material incorporated and stating that such material is not subject to copyright protection within the United States.
Formal credit is specified as:
DOC/NOAA/NESDIS/NCEI > National Centers for Environmental Information, NESDIS, NOAA, U.S. Department of Commerce