455808864 has 96 divisors (see below), whose sum is σ = 1377686016. Its totient is φ = 129254400.

The previous prime is 455808827. The next prime is 455808877. The reversal of 455808864 is 468808554.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89589 + ... + 94539.

It is an arithmetic number, because the mean of its divisors is an integer number (14350896).

Almost surely, 2^455808864 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 455808864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688843008).

455808864 is an abundant number, since it is smaller than the sum of its proper divisors (921877152).

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

455808864 is a wasteful number, since it uses less digits than its factorization.

455808864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The square root of 455808864 is about 21349.6806533494. The cubic root of 455808864 is about 769.5926692507.

The spelling of 455808864 in words is "four hundred fifty-five million, eight hundred eight thousand, eight hundred sixty-four".