456664320 has 324 divisors, whose sum is σ = 1840243860. Its totient is φ = 104251392.

The previous prime is 456664303. The next prime is 456664331. The reversal of 456664320 is 23466654.

It can be written as a sum of positive squares in 2 ways, for example, as 293642496 + 163021824 = 17136^2 + 12768^2 .

It is a super-2 number, since 2×456664320² = 417084602322124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564076 + ... + 564884.

It is an arithmetic number, because the mean of its divisors is an integer number (5679765).

Almost surely, 2^456664320 is an apocalyptic number.

456664320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920121930).

456664320 is an abundant number, since it is smaller than the sum of its proper divisors (1383579540).

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

456664320 is a wasteful number, since it uses less digits than its factorization.

456664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 456664320 is about 21369.7056601161. The cubic root of 456664320 is about 770.0738221233.

It can be divided in two parts, 4566 and 64320, that added together give a palindrome (68886).

The spelling of 456664320 in words is "four hundred fifty-six million, six hundred sixty-four thousand, three hundred twenty".