455005872000 has 1536 divisors, whose sum is σ = 1811065651200. Its totient is φ = 109121126400.

The previous prime is 455005871959. The next prime is 455005872089. The reversal of 455005872000 is 278500554.

It is a happy number.

455005872000 is a `hidden beast` number, since 4 + 5 + 50 + 0 + 587 + 20 + 0 + 0 = 666.

455005872000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5759567961 + ... + 5759568039.

It is an arithmetic number, because the mean of its divisors is an integer number (1179079200).

Almost surely, 2^455005872000 is an apocalyptic number.

455005872000 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 455005872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905532825600).

455005872000 is an abundant number, since it is smaller than the sum of its proper divisors (1356059779200).

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

455005872000 is a wasteful number, since it uses less digits than its factorization.

455005872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 455005872000 in words is "four hundred fifty-five billion, five million, eight hundred seventy-two thousand".