465985564 has 48 divisors (see below), whose sum is σ = 941472000. Its totient is φ = 199584000.

The previous prime is 465985537. The next prime is 465985571. The reversal of 465985564 is 465589564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164964 + ... + 167764.

It is an arithmetic number, because the mean of its divisors is an integer number (19614000).

Almost surely, 2^465985564 is an apocalyptic number.

465985564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465985564 is an abundant number, since it is smaller than the sum of its proper divisors (475486436).

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

465985564 is a wasteful number, since it uses less digits than its factorization.

465985564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3032 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 52.

The square root of 465985564 is about 21586.6987749401. The cubic root of 465985564 is about 775.2780488270.

The spelling of 465985564 in words is "four hundred sixty-five million, nine hundred eighty-five thousand, five hundred sixty-four".