464656900 has 36 divisors (see below), whose sum is σ = 1009466640. Its totient is φ = 185648800.

The previous prime is 464656897. The next prime is 464656901. The reversal of 464656900 is 9656464.

It is a super-2 number, since 2×464656900² = 431812069435220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464656901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106971 + ... + 111229.

It is an arithmetic number, because the mean of its divisors is an integer number (28040740).

Almost surely, 2^464656900 is an apocalyptic number.

It is an amenable number.

464656900 is an abundant number, since it is smaller than the sum of its proper divisors (544809740).

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

464656900 is a wasteful number, since it uses less digits than its factorization.

464656900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 464656900 is about 21555.9017440700. The cubic root of 464656900 is about 774.5404976432.

The spelling of 464656900 in words is "four hundred sixty-four million, six hundred fifty-six thousand, nine hundred".