456630172 has 24 divisors (see below), whose sum is σ = 849008160. Its totient is φ = 214482240.

The previous prime is 456630169. The next prime is 456630197. The reversal of 456630172 is 271036654.

It is a happy number.

It is a super-2 number, since 2×456630172² = 417022227961499168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48904 + ... + 57487.

It is an arithmetic number, because the mean of its divisors is an integer number (35375340).

Almost surely, 2^456630172 is an apocalyptic number.

It is an amenable number.

456630172 is a deficient number, since it is larger than the sum of its proper divisors (392377988).

456630172 is a wasteful number, since it uses less digits than its factorization.

456630172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106461 (or 106459 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 456630172 is about 21368.9066636550. The cubic root of 456630172 is about 770.0546270347.

The spelling of 456630172 in words is "four hundred fifty-six million, six hundred thirty thousand, one hundred seventy-two".