455904000 has 216 divisors, whose sum is σ = 1641511872. Its totient is φ = 121497600.

The previous prime is 455903989. The next prime is 455904049. The reversal of 455904000 is 409554.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287209 + ... + 288791.

It is an arithmetic number, because the mean of its divisors is an integer number (7599592).

Almost surely, 2^455904000 is an apocalyptic number.

455904000 is a gapful number since it is divisible by the number (40) 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 455904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820755936).

455904000 is an abundant number, since it is smaller than the sum of its proper divisors (1185607872).

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

455904000 is a wasteful number, since it uses less digits than its factorization.

455904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 455904000 is about 21351.9085797968. The cubic root of 455904000 is about 769.6462084135.

The spelling of 455904000 in words is "four hundred fifty-five million, nine hundred four thousand".