455948595200 has 936 divisors, whose sum is σ = 1436843464704. Its totient is φ = 140378112000.

The previous prime is 455948595187. The next prime is 455948595209. The reversal of 455948595200 is 2595849554.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455948595209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6421811165 + ... + 6421811235.

Almost surely, 2^455948595200 is an apocalyptic number.

455948595200 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 455948595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718421732352).

455948595200 is an abundant number, since it is smaller than the sum of its proper divisors (980894869504).

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

455948595200 is a wasteful number, since it uses less digits than its factorization.

455948595200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 56.

The spelling of 455948595200 in words is "four hundred fifty-five billion, nine hundred forty-eight million, five hundred ninety-five thousand, two hundred".