456664368 has 40 divisors (see below), whose sum is σ = 1181271616. Its totient is φ = 152020800.

The previous prime is 456664367. The next prime is 456664391. The reversal of 456664368 is 863466654.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (456664367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33063 + ... + 44793.

Almost surely, 2^456664368 is an apocalyptic number.

456664368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

456664368 is an abundant number, since it is smaller than the sum of its proper divisors (724607248).

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

456664368 is a wasteful number, since it uses less digits than its factorization.

456664368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12553 (or 12547 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The square root of 456664368 is about 21369.7067832013. The cubic root of 456664368 is about 770.0738491042.

The spelling of 456664368 in words is "four hundred fifty-six million, six hundred sixty-four thousand, three hundred sixty-eight".