45504 has 42 divisors (see below), whose sum is σ = 132080. Its totient is φ = 14976.

The previous prime is 45503. The next prime is 45523. The reversal of 45504 is 40554.

It is a happy number.

It is a super-2 number, since 2×45504² = 4141228032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45503) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 537 + ... + 615.

2⁴⁵⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66040).

45504 is an abundant number, since it is smaller than the sum of its proper divisors (86576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45504 is a wasteful number, since it uses less digits than its factorization.

45504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45504 is about 213.3166660156. The cubic root of 45504 is about 35.7012310382.

Subtracting from 45504 its reverse (40554), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 4550 and 4, that added together give a palindrome (4554).

The spelling of 45504 in words is "forty-five thousand, five hundred four".