No zero occurs in this puzzle, and all digits are even.
Copyright 2007 by Rainer Typke

A across = G across ^ 2
E across = F down * digit sum(A across)
I across is a multiple of reverse(G across)
K across = F down

Palindrome(A down)
A down is a multiple of C down
B down is a multiple of G across
Palindrome(C down)
digit sum(D down) = digit sum(I across)
digit product(D down) = digit product(I across)
F down = E across / digit product(H across)
J down = digit sum(E across)
Palindrome(J down)