456857856 has 216 divisors, whose sum is σ = 1621954880. Its totient is φ = 120434688.

The previous prime is 456857803. The next prime is 456857861. The reversal of 456857856 is 658758654.

456857856 is a `hidden beast` number, since 4 + 5 + 68 + 578 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208575 + ... + 210753.

Almost surely, 2^456857856 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 456857856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810977440).

456857856 is an abundant number, since it is smaller than the sum of its proper divisors (1165097024).

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

456857856 is a wasteful number, since it uses less digits than its factorization.

456857856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2204 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The square root of 456857856 is about 21374.2334599396. The cubic root of 456857856 is about 770.1825934546.

The spelling of 456857856 in words is "four hundred fifty-six million, eight hundred fifty-seven thousand, eight hundred fifty-six".