456332032 has 36 divisors (see below), whose sum is σ = 980956480. Its totient is φ = 210613248.

The previous prime is 456332011. The next prime is 456332069. The reversal of 456332032 is 230233654.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65232 + ... + 71887.

Almost surely, 2^456332032 is an apocalyptic number.

It is an amenable number.

456332032 is an abundant number, since it is smaller than the sum of its proper divisors (524624448).

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

456332032 is a wasteful number, since it uses less digits than its factorization.

456332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137148 (or 137134 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 456332032 is about 21361.9295008667. The cubic root of 456332032 is about 769.8869975284.

Adding to 456332032 its reverse (230233654), we get a palindrome (686565686).

The spelling of 456332032 in words is "four hundred fifty-six million, three hundred thirty-two thousand, thirty-two".