456545664 has 96 divisors (see below), whose sum is σ = 1349390640. Its totient is φ = 148055040.

The previous prime is 456545647. The next prime is 456545671. The reversal of 456545664 is 466545654.

456545664 is a `hidden beast` number, since 45 + 6 + 545 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37269 + ... + 47979.

Almost surely, 2^456545664 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 456545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674695320).

456545664 is an abundant number, since it is smaller than the sum of its proper divisors (892844976).

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

456545664 is a wasteful number, since it uses less digits than its factorization.

456545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10768 (or 10753 counting only the distinct ones).

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

The square root of 456545664 is about 21366.9292131555. The cubic root of 456545664 is about 770.0071197408.

The spelling of 456545664 in words is "four hundred fifty-six million, five hundred forty-five thousand, six hundred sixty-four".