456356680 has 32 divisors (see below), whose sum is σ = 1105788600. Its totient is φ = 168500736.

The previous prime is 456356671. The next prime is 456356707. The reversal of 456356680 is 86653654.

It can be written as a sum of positive squares in 4 ways, for example, as 234763684 + 221592996 = 15322^2 + 14886^2 .

It is a super-2 number, since 2×456356680² = 416522838761244800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438285 + ... + 439324.

Almost surely, 2^456356680 is an apocalyptic number.

456356680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456356680 is an abundant number, since it is smaller than the sum of its proper divisors (649431920).

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

456356680 is a wasteful number, since it uses less digits than its factorization.

456356680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877633 (or 877629 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The square root of 456356680 is about 21362.5064072547. The cubic root of 456356680 is about 769.9008586586.

The spelling of 456356680 in words is "four hundred fifty-six million, three hundred fifty-six thousand, six hundred eighty".