What can I expect from my ATmega328 when the batteries run down?

Thanks James. I burned the "Duemilanove w/ ATmega328" bootloader onto a blank 328p myself, so if the brown-out fuse is on by default I should be OK. The RTC has the battery backup, so I'm probably OK there too. I don't really care if the display gets weird, that can be my indicator the batteries need replacing XD