462564 has 24 divisors (see below), whose sum is σ = 1199520. Its totient is φ = 154152.

The previous prime is 462557. The next prime is 462569. The reversal of 462564 is 465264.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 462564.

It is not an unprimeable number, because it can be changed into a prime (462569) by changing a digit.

462564 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 7 ways as a sum of consecutive naturals, for example, 2034 + ... + 2249.

It is an arithmetic number, because the mean of its divisors is an integer number (49980).

2⁴⁶²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

462564 is an abundant number, since it is smaller than the sum of its proper divisors (736956).

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

462564 is a wasteful number, since it uses less digits than its factorization.

462564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4288 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 462564 is about 680.1205775449. The cubic root of 462564 is about 77.3375856428.

The spelling of 462564 in words is "four hundred sixty-two thousand, five hundred sixty-four".