465600 has 84 divisors (see below), whose sum is σ = 1543304. Its totient is φ = 122880.

The previous prime is 465587. The next prime is 465611. The reversal of 465600 is 6564.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 465600.

It is an unprimeable number.

465600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4752 + ... + 4848.

2⁴⁶⁵⁶⁰⁰ is an apocalyptic number.

465600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771652).

465600 is an abundant number, since it is smaller than the sum of its proper divisors (1077704).

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

465600 is a wasteful number, since it uses less digits than its factorization.

465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 465600 is about 682.3488843693. The cubic root of 465600 is about 77.5064163956.

The spelling of 465600 in words is "four hundred sixty-five thousand, six hundred".