456317128520 has 128 divisors (see below), whose sum is σ = 1129636160640. Its totient is φ = 164516567040.

The previous prime is 456317128481. The next prime is 456317128573. The reversal of 456317128520 is 25821713654.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 53222954 + ... + 53231526.

It is an arithmetic number, because the mean of its divisors is an integer number (8825282505).

Almost surely, 2^456317128520 is an apocalyptic number.

456317128520 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 456317128520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564818080320).

456317128520 is an abundant number, since it is smaller than the sum of its proper divisors (673319032120).

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

456317128520 is a wasteful number, since it uses less digits than its factorization.

456317128520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9615 (or 9611 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 456317128520 in words is "four hundred fifty-six billion, three hundred seventeen million, one hundred twenty-eight thousand, five hundred twenty".