456631172 has 12 divisors (see below), whose sum is σ = 799388940. Its totient is φ = 228234336.

The previous prime is 456631163. The next prime is 456631181. The reversal of 456631172 is 271136654.

It is an interprime number because it is at equal distance from previous prime (456631163) and next prime (456631181).

It can be written as a sum of positive squares in 2 ways, for example, as 349839616 + 106791556 = 18704^2 + 10334^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6647 + ... + 30942.

It is an arithmetic number, because the mean of its divisors is an integer number (66615745).

Almost surely, 2^456631172 is an apocalyptic number.

It is an amenable number.

456631172 is a deficient number, since it is larger than the sum of its proper divisors (342757768).

456631172 is a wasteful number, since it uses less digits than its factorization.

456631172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40630 (or 40628 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 456631172 is about 21368.9300621252. The cubic root of 456631172 is about 770.0551891628.

The spelling of 456631172 in words is "four hundred fifty-six million, six hundred thirty-one thousand, one hundred seventy-two".