456757172 has 12 divisors (see below), whose sum is σ = 799514436. Its totient is φ = 228324480.

The previous prime is 456757159. The next prime is 456757177. The reversal of 456757172 is 271757654.

It can be written as a sum of positive squares in 2 ways, for example, as 373107856 + 83649316 = 19316^2 + 9146^2 .

It is a super-2 number, since 2×456757172² = 417254228346875168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456757177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10022 + ... + 31842.

It is an arithmetic number, because the mean of its divisors is an integer number (66626203).

Almost surely, 2^456757172 is an apocalyptic number.

It is an amenable number.

456757172 is a deficient number, since it is larger than the sum of its proper divisors (342757264).

456757172 is a wasteful number, since it uses less digits than its factorization.

456757172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27058 (or 27056 counting only the distinct ones).

The product of its digits is 411600, while the sum is 44.

The square root of 456757172 is about 21371.8780644098. The cubic root of 456757172 is about 770.1260107484.

The spelling of 456757172 in words is "four hundred fifty-six million, seven hundred fifty-seven thousand, one hundred seventy-two".