455970816 has 416 divisors, whose sum is σ = 1677516800. Its totient is φ = 119439360.

The previous prime is 455970811. The next prime is 455970833. The reversal of 455970816 is 618079554.

455970816 is a `hidden beast` number, since 45 + 597 + 0 + 8 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455970811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14708721 + ... + 14708751.

Almost surely, 2^455970816 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 455970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838758400).

455970816 is an abundant number, since it is smaller than the sum of its proper divisors (1221545984).

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

455970816 is a wasteful number, since it uses less digits than its factorization.

455970816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 455970816 is about 21353.4731601208. The cubic root of 455970816 is about 769.6838056336.

The spelling of 455970816 in words is "four hundred fifty-five million, nine hundred seventy thousand, eight hundred sixteen".