455664000 has 256 divisors, whose sum is σ = 1649756160. Its totient is φ = 110336000.

The previous prime is 455663987. The next prime is 455664059. The reversal of 455664000 is 466554.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 527569 + ... + 528431.

It is an arithmetic number, because the mean of its divisors is an integer number (6444360).

Almost surely, 2^455664000 is an apocalyptic number.

455664000 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 455664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824878080).

455664000 is an abundant number, since it is smaller than the sum of its proper divisors (1194092160).

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

455664000 is a wasteful number, since it uses less digits than its factorization.

455664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 455664000 is about 21346.2877334678. The cubic root of 455664000 is about 769.5111306248.

The spelling of 455664000 in words is "four hundred fifty-five million, six hundred sixty-four thousand".