^For most of them, the animal probably won't know the difference.
It is a handgun cartridge that rivals the power of a high powered rifle.
.30-06 and .338 lapua are going to have better down range energy and trajectory for long range shots. Animal wouldn't know the difference between a .444 and a .500. I think out of a short rifle you would get better performance out of the .500 than the .45-70.
With appropriate bullet choice and proper shot placement, out of a rifle I believe the .500 S&W could take any large game the world over, including elephant.