456623172 has 36 divisors (see below), whose sum is σ = 1168156080. Its totient is φ = 150372912.

The previous prime is 456623161. The next prime is 456623173. The reversal of 456623172 is 271326654.

456623172 is a `hidden beast` number, since 4 + 566 + 23 + 1 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (456623173) 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 11 ways as a sum of consecutive naturals, for example, 73422 + ... + 79397.

It is an arithmetic number, because the mean of its divisors is an integer number (32448780).

Almost surely, 2^456623172 is an apocalyptic number.

It is an amenable number.

456623172 is an abundant number, since it is smaller than the sum of its proper divisors (711532908).

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

456623172 is a wasteful number, since it uses less digits than its factorization.

456623172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152912 (or 152907 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 456623172 is about 21368.7428736461. The cubic root of 456623172 is about 770.0506921144.

The spelling of 456623172 in words is "four hundred fifty-six million, six hundred twenty-three thousand, one hundred seventy-two".