456504 has 32 divisors (see below), whose sum is σ = 1192320. Its totient is φ = 145376.

The previous prime is 456503. The next prime is 456517. The reversal of 456504 is 405654.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (37260).

2⁴⁵⁶⁵⁰⁴ 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 456504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596160).

456504 is an abundant number, since it is smaller than the sum of its proper divisors (735816).

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

456504 is a wasteful number, since it uses less digits than its factorization.

456504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 456504 is about 675.6507973798. The cubic root of 456504 is about 76.9983695612.

It can be divided in two parts, 45650 and 4, that added together give a palindrome (45654).

The spelling of 456504 in words is "four hundred fifty-six thousand, five hundred four".