455599872 has 432 divisors, whose sum is σ = 1687428288. Its totient is φ = 115015680.

The previous prime is 455599867. The next prime is 455599877. The reversal of 455599872 is 278995554.

455599872 is a `hidden beast` number, since 4 + 5 + 559 + 9 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (455599867) and next prime (455599877).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455599877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8596198 + ... + 8596250.

It is an arithmetic number, because the mean of its divisors is an integer number (3906084).

Almost surely, 2^455599872 is an apocalyptic number.

455599872 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 455599872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843714144).

455599872 is an abundant number, since it is smaller than the sum of its proper divisors (1231828416).

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

455599872 is a wasteful number, since it uses less digits than its factorization.

455599872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The square root of 455599872 is about 21344.7855927390. The cubic root of 455599872 is about 769.4750298101.

The spelling of 455599872 in words is "four hundred fifty-five million, five hundred ninety-nine thousand, eight hundred seventy-two".