I know of no simple equation or formula for determing this. You can try the brute force method of counting them. 505, 515, 525, 535, 545, 555, 565, 575, 585, 595
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500
40 palindromes.
505,515,...595 -- 10 p. numbers 606,616,...696 -- 10 p. numbers notice the pattern --- looks like there are 50
40. There are 400 numbers between 100 and 500 and one in every ten ends in 5.
The answer is 498 digits (you're not suppose to count 1 and 500) if this question was intended to ask "how many numbers are there between 1 and 500?"