4569 = 3 x 1523.
4569 is a disdyakis dodecahedral number (A100163).
4569 is the number of base 5 6-digit numbers with adjacent numbers differing by two or less (A126392).
4569 is the number of walks on a simple cubic lattice (A052178).
4569 is the smallest number such that the product of its digits is 45 times the sum of its digits (A126789).
Source: On-Line Encyclopedia of Integer Sequences