456591680 has 56 divisors (see below), whose sum is σ = 1093040232. Its totient is φ = 181665792.

The previous prime is 456591677. The next prime is 456591697. The reversal of 456591680 is 86195654.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 456591424 = 16^2 + 21368^2 .

It is a congruent number.

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, 58064 + ... + 65456.

Almost surely, 2^456591680 is an apocalyptic number.

456591680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546520116).

456591680 is an abundant number, since it is smaller than the sum of its proper divisors (636448552).

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

456591680 is a wasteful number, since it uses less digits than its factorization.

456591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7603 (or 7593 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 456591680 is about 21368.0059902650. The cubic root of 456591680 is about 770.0329889729.

The spelling of 456591680 in words is "four hundred fifty-six million, five hundred ninety-one thousand, six hundred eighty".