456353856 has 504 divisors, whose sum is σ = 1716511680. Its totient is φ = 114960384.

The previous prime is 456353851. The next prime is 456353867. The reversal of 456353856 is 658353654.

456353856 is a `hidden beast` number, since 4 + 5 + 63 + 538 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (456353851) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12333870 + ... + 12333906.

Almost surely, 2^456353856 is an apocalyptic number.

456353856 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456353856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858255840).

456353856 is an abundant number, since it is smaller than the sum of its proper divisors (1260157824).

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

456353856 is a wasteful number, since it uses less digits than its factorization.

456353856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 456353856 is about 21362.4403100395. The cubic root of 456353856 is about 769.8992705700.

The spelling of 456353856 in words is "four hundred fifty-six million, three hundred fifty-three thousand, eight hundred fifty-six".