465606564 has 24 divisors (see below), whose sum is σ = 1088025120. Its totient is φ = 154972224.

The previous prime is 465606553. The next prime is 465606587.

It is a happy number.

465606564 is nontrivially palindromic in base 10.

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, 20209 + ... + 36600.

It is an arithmetic number, because the mean of its divisors is an integer number (45334380).

Almost surely, 2^465606564 is an apocalyptic number.

It is an amenable number.

465606564 is an abundant number, since it is smaller than the sum of its proper divisors (622418556).

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

465606564 is a wasteful number, since it uses less digits than its factorization.

465606564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57499 (or 57497 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 465606564 is about 21577.9184352894. The cubic root of 465606564 is about 775.0678062075.

The spelling of 465606564 in words is "four hundred sixty-five million, six hundred six thousand, five hundred sixty-four".