457328256 has 128 divisors (see below), whose sum is σ = 1514626560. Its totient is φ = 118778880.

The previous prime is 457328161. The next prime is 457328279. The reversal of 457328256 is 652823754.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 21835 + ... + 37301.

It is an arithmetic number, because the mean of its divisors is an integer number (11833020).

Almost surely, 2^457328256 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 457328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757313280).

457328256 is an abundant number, since it is smaller than the sum of its proper divisors (1057298304).

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

457328256 is a wasteful number, since it uses less digits than its factorization.

457328256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15502 (or 15490 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 457328256 is about 21385.2345322655. The cubic root of 457328256 is about 770.4468402102.

The spelling of 457328256 in words is "four hundred fifty-seven million, three hundred twenty-eight thousand, two hundred fifty-six".