Multipling 4500 by its product of nonzero digits (20), we get a square (90000 = 3002).
4500 divided by its product of nonzero digits (20) gives a square (225 = 152).
Adding to 4500 its reverse (54), we get a palindrome (4554).
It is a tau number, because it is divible by the number of its divisors (36).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
4500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7098).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4500 is a wasteful number, since it uses less digits than its factorization.
4500 is an odious number, because the sum of its binary digits is odd.
The square root of 4500 is about 67.0820393250. The cubic root of 4500 is about 16.5096362445.
The spelling of 4500 in words is "four thousand, five hundred".