465564 has 24 divisors (see below), whose sum is σ = 1185408. Its totient is φ = 141040.

The previous prime is 465551. The next prime is 465581.

465564 is nontrivially palindromic in base 10 and base 15.

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, 1632 + ... + 1895.

It is an arithmetic number, because the mean of its divisors is an integer number (49392).

2⁴⁶⁵⁵⁶⁴ is an apocalyptic number.

465564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465564 is an abundant number, since it is smaller than the sum of its proper divisors (719844).

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

465564 is a wasteful number, since it uses less digits than its factorization.

465564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3543 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 465564 is about 682.3225043922. The cubic root of 465564 is about 77.5044187560.

The spelling of 465564 in words is "four hundred sixty-five thousand, five hundred sixty-four".