Sounding like you have a short of some kind somewhere, so something is bleeding the energy of your cells out as heat. I would strongly suggest keeping the batteries out of the thing till you can get it into the hands of someone with some experience in toying with these kind of electronics and has a proper work bench suitable for it.
Based on what you're describing I am worried that you could have a capacitor or something that is damaged, and could actually pop/catch fire, which rarely makes for a very good day. Are the batteries overly warm/hot when you take them out? That is an exceptionally short time to be discharging those kind of cells, and I really can't think of anything on this style of flash that could be sucking down that much juice in so short of time under 'normal' conditions, but I could be wrong. (I forget the feature set of the 460ii, maybe an infrared lamp of some kind is locking on and draining faster than I would have expected?)
Before tossing it ask around and see if any locals like playing with those kind of things. Might be something stupidly simple and easy to fix, and no sense in junking it right off the bat.
Good luck.
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