457136256 has 128 divisors (see below), whose sum is σ = 1295481600. Its totient is φ = 142327808.

The previous prime is 457136249. The next prime is 457136279. The reversal of 457136256 is 652631754.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1560046 + ... + 1560338.

It is an arithmetic number, because the mean of its divisors is an integer number (10120950).

Almost surely, 2^457136256 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 457136256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647740800).

457136256 is an abundant number, since it is smaller than the sum of its proper divisors (838345344).

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

457136256 is a wasteful number, since it uses less digits than its factorization.

457136256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 457136256 is about 21380.7449823433. The cubic root of 457136256 is about 770.3390062876.

The spelling of 457136256 in words is "four hundred fifty-seven million, one hundred thirty-six thousand, two hundred fifty-six".