457031517824 has 64 divisors (see below), whose sum is σ = 1042138406400. Its totient is φ = 195574072320.

The previous prime is 457031517769. The next prime is 457031517841. The reversal of 457031517824 is 428715130754.

It is a tau number, because it is divible by the number of its divisors (64).

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, 206417 + ... + 978095.

It is an arithmetic number, because the mean of its divisors is an integer number (16283412600).

Almost surely, 2^457031517824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457031517824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521069203200).

457031517824 is an abundant number, since it is smaller than the sum of its proper divisors (585106888576).

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

457031517824 is an equidigital number, since it uses as much as digits as its factorization.

457031517824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772361 (or 772349 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 47.

The spelling of 457031517824 in words is "four hundred fifty-seven billion, thirty-one million, five hundred seventeen thousand, eight hundred twenty-four".