456454656 has 320 divisors, whose sum is σ = 1590969600. Its totient is φ = 126517248.

The previous prime is 456454639. The next prime is 456454667. The reversal of 456454656 is 656454654.

456454656 is a `hidden beast` number, since 4 + 56 + 4 + 546 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5128660 + ... + 5128748.

It is an arithmetic number, because the mean of its divisors is an integer number (4971780).

Almost surely, 2^456454656 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 456454656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795484800).

456454656 is an abundant number, since it is smaller than the sum of its proper divisors (1134514944).

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

456454656 is an equidigital number, since it uses as much as digits as its factorization.

456454656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 456454656 is about 21364.7994607953. The cubic root of 456454656 is about 769.9559518289.

The spelling of 456454656 in words is "four hundred fifty-six million, four hundred fifty-four thousand, six hundred fifty-six".