465504 has 48 divisors (see below), whose sum is σ = 1319472. Its totient is φ = 142848.

The previous prime is 465469. The next prime is 465523. The reversal of 465504 is 405564.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1062 + ... + 1434.

It is an arithmetic number, because the mean of its divisors is an integer number (27489).

2⁴⁶⁵⁵⁰⁴ 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 465504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659736).

465504 is an abundant number, since it is smaller than the sum of its proper divisors (853968).

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

465504 is a wasteful number, since it uses less digits than its factorization.

465504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

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

The square root of 465504 is about 682.2785354971. The cubic root of 465504 is about 77.5010891279.

It can be divided in two parts, 465 and 504, that added together give a palindrome (969).

The spelling of 465504 in words is "four hundred sixty-five thousand, five hundred four".