456317680 has 160 divisors (see below), whose sum is σ = 1374912000. Its totient is φ = 136774656.

The previous prime is 456317627. The next prime is 456317717. The reversal of 456317680 is 86713654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136671 + ... + 139969.

It is an arithmetic number, because the mean of its divisors is an integer number (8593200).

Almost surely, 2^456317680 is an apocalyptic number.

456317680 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 456317680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456000).

456317680 is an abundant number, since it is smaller than the sum of its proper divisors (918594320).

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

456317680 is a wasteful number, since it uses less digits than its factorization.

456317680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 456317680 is about 21361.5935735141. The cubic root of 456317680 is about 769.8789262607.

The spelling of 456317680 in words is "four hundred fifty-six million, three hundred seventeen thousand, six hundred eighty".