455531976900 has 1152 divisors, whose sum is σ = 2030056734720. Its totient is φ = 84540672000.

The previous prime is 455531976883. The next prime is 455531977027. The reversal of 455531976900 is 9679135554.

455531976900 is a `hidden beast` number, since 4 + 5 + 553 + 19 + 76 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×455531976900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 83780982 + ... + 83786418.

Almost surely, 2^455531976900 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 455531976900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015028367360).

455531976900 is an abundant number, since it is smaller than the sum of its proper divisors (1574524757820).

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

455531976900 is a wasteful number, since it uses less digits than its factorization.

455531976900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 455531976900 in words is "four hundred fifty-five billion, five hundred thirty-one million, nine hundred seventy-six thousand, nine hundred".