2024 Cayley Problem 17

Each of the four digits of the integer 2024 is even. How many integers between 1000 and 9999, inclusive, have the property that all four of their digits are even?

\textbf{(A)}\ 500\quad \textbf{(B)}\ 625\quad \textbf{(C)}\ 96\quad \textbf{(D)}\ 54\quad \textbf{(E)}\ 256

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.