But, if you store a SSN as say 123-45-6789 your using at least 11 bytes to store a 4 byte number. Use it as an index and you waste that space again, store it in a cache and you have less space for useful information, compare it with another SSN and it's slower etc. Now individually it's probably irrelevant but start doing this with several fields on a large application and you can noticeably slow things down even if the extra disk space seems cheap.
PS: 95% of the time it's probably the safest option, but it's still something you should consider based on how that data fit's in with the rest of your application.