456272328 has 32 divisors (see below), whose sum is σ = 1142560800. Its totient is φ = 151840128.

The previous prime is 456272309. The next prime is 456272329. The reversal of 456272328 is 823272654.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (456272329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501 + ... + 30212.

It is an arithmetic number, because the mean of its divisors is an integer number (35705025).

Almost surely, 2^456272328 is an apocalyptic number.

It is an amenable number.

456272328 is an abundant number, since it is smaller than the sum of its proper divisors (686288472).

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

456272328 is a wasteful number, since it uses less digits than its factorization.

456272328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31341 (or 31337 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 456272328 is about 21360.5320158464. The cubic root of 456272328 is about 769.8534201222.

The spelling of 456272328 in words is "four hundred fifty-six million, two hundred seventy-two thousand, three hundred twenty-eight".