455908992 has 256 divisors, whose sum is σ = 1600404480. Its totient is φ = 111329280.

The previous prime is 455908987. The next prime is 455909057. The reversal of 455908992 is 299809554.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 502203 + ... + 503109.

It is an arithmetic number, because the mean of its divisors is an integer number (6251580).

Almost surely, 2^455908992 is an apocalyptic number.

455908992 is a gapful number since it is divisible by the number (42) 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 455908992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800202240).

455908992 is an abundant number, since it is smaller than the sum of its proper divisors (1144495488).

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

455908992 is a wasteful number, since it uses less digits than its factorization.

455908992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The square root of 455908992 is about 21352.0254776918. The cubic root of 455908992 is about 769.6490175282.

The spelling of 455908992 in words is "four hundred fifty-five million, nine hundred eight thousand, nine hundred ninety-two".