457856 has 48 divisors (see below), whose sum is σ = 1075590. Its totient is φ = 193536.

The previous prime is 457837. The next prime is 457871. The reversal of 457856 is 658754.

It can be written as a sum of positive squares in only one way, i.e., 379456 + 78400 = 616^2 + 280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6236 + ... + 6308.

2⁴⁵⁷⁸⁵⁶ 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 457856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537795).

457856 is an abundant number, since it is smaller than the sum of its proper divisors (617734).

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

457856 is an equidigital number, since it uses as much as digits as its factorization.

457856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 82 counting only the distinct ones).

The product of its digits is 33600, while the sum is 35.

The square root of 457856 is about 676.6505745213. The cubic root of 457856 is about 77.0743084313.

The spelling of 457856 in words is "four hundred fifty-seven thousand, eight hundred fifty-six".