455212835200 has 384 divisors, whose sum is σ = 1276143232320. Its totient is φ = 159476613120.

The previous prime is 455212835171. The next prime is 455212835201. The reversal of 455212835200 is 2538212554.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 455212835200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455212835201) 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, 46289484 + ... + 46299316.

Almost surely, 2^455212835200 is an apocalyptic number.

455212835200 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 455212835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638071616160).

455212835200 is an abundant number, since it is smaller than the sum of its proper divisors (820930397120).

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

455212835200 is a wasteful number, since it uses less digits than its factorization.

455212835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9934 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 455212835200 in words is "four hundred fifty-five billion, two hundred twelve million, eight hundred thirty-five thousand, two hundred".