456316032 has 64 divisors (see below), whose sum is σ = 1251221760. Its totient is φ = 147194880.

The previous prime is 456316031. The next prime is 456316097. The reversal of 456316032 is 230613654.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (456316031) 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, 7263 + ... + 31070.

It is an arithmetic number, because the mean of its divisors is an integer number (19550340).

Almost surely, 2^456316032 is an apocalyptic number.

It is an amenable number.

456316032 is an abundant number, since it is smaller than the sum of its proper divisors (794905728).

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

456316032 is a wasteful number, since it uses less digits than its factorization.

456316032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38381 (or 38369 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 456316032 is about 21361.5549995781. The cubic root of 456316032 is about 769.8779994487.

Adding to 456316032 its reverse (230613654), we get a palindrome (686929686).

The spelling of 456316032 in words is "four hundred fifty-six million, three hundred sixteen thousand, thirty-two".