Stainless rifles are generally regarded as having a longer accuracy life and are more corrosion resistant than blued. Most of the match grade (accurate) barrels are stainless. You can do a google search for the specifics of the steels

Oh yeah, You asked for advantages:

Your friends and hunting buddies will go "OOOHHhh!" when the see it.
My stainless M70 feels like a surgical steel instrument, next to a "simple" wood/blued gun
Makes your penis bigger.