456356672 has 14 divisors (see below), whose sum is σ = 905582898. Its totient is φ = 228178304.

The previous prime is 456356671. The next prime is 456356707. The reversal of 456356672 is 276653654.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 389509696 + 66846976 = 19736^2 + 8176^2 .

It is a super-2 number, since 2×456356672² = 416522824157831168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456356671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3565223 + ... + 3565350.

Almost surely, 2^456356672 is an apocalyptic number.

It is an amenable number.

456356672 is a deficient number, since it is larger than the sum of its proper divisors (449226226).

456356672 is an equidigital number, since it uses as much as digits as its factorization.

456356672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130585 (or 7130575 counting only the distinct ones).

The product of its digits is 907200, while the sum is 44.

The square root of 456356672 is about 21362.5062200108. The cubic root of 456356672 is about 769.9008541597.

The spelling of 456356672 in words is "four hundred fifty-six million, three hundred fifty-six thousand, six hundred seventy-two".