When was the Exodus?

Two chief theories: one says 1290 (Jews built store cities, in Ex 1:11 , which have been excavated); others say around 1445 (Solomon began to build temple in 4th year of reign which was 480 yrs after Exodus). What do we do if archaeology seems to contradict OT? Recall many buildings were mud, washed away - there was some site shift - only a fraction of sites usually excavated -- check genre of the passage.