456988680 has 48 divisors (see below), whose sum is σ = 1485214380. Its totient is φ = 121863552.

The previous prime is 456988673. The next prime is 456988723. The reversal of 456988680 is 86889654.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 432723204 + 24265476 = 20802^2 + 4926^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634347 + ... + 635066.

Almost surely, 2^456988680 is an apocalyptic number.

456988680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456988680 is an abundant number, since it is smaller than the sum of its proper divisors (1028225700).

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

456988680 is a wasteful number, since it uses less digits than its factorization.

456988680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269430 (or 1269423 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 456988680 is about 21377.2935611597. The cubic root of 456988680 is about 770.2561019140.

The spelling of 456988680 in words is "four hundred fifty-six million, nine hundred eighty-eight thousand, six hundred eighty".