456165640 has 32 divisors (see below), whose sum is σ = 1172998080. Its totient is φ = 156399552.

The previous prime is 456165617. The next prime is 456165653. The reversal of 456165640 is 46561654.

It is a super-2 number, since 2×456165640² = 416174182233219200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 456165640.

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, 814302 + ... + 814861.

It is an arithmetic number, because the mean of its divisors is an integer number (36656190).

Almost surely, 2^456165640 is an apocalyptic number.

456165640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456165640 is an abundant number, since it is smaller than the sum of its proper divisors (716832440).

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

456165640 is a wasteful number, since it uses less digits than its factorization.

456165640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629181 (or 1629177 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 456165640 is about 21358.0345537692. The cubic root of 456165640 is about 769.7934117170.

The spelling of 456165640 in words is "four hundred fifty-six million, one hundred sixty-five thousand, six hundred forty".