455723413200 has 2160 divisors, whose sum is σ = 2009833862400. Its totient is φ = 94887936000.

The previous prime is 455723413177. The next prime is 455723413207. The reversal of 455723413200 is 2314327554.

455723413200 is a `hidden beast` number, since 45 + 5 + 72 + 341 + 3 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455723413207) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5768650761 + ... + 5768650839.

It is an arithmetic number, because the mean of its divisors is an integer number (930478640).

Almost surely, 2^455723413200 is an apocalyptic number.

455723413200 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 455723413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004916931200).

455723413200 is an abundant number, since it is smaller than the sum of its proper divisors (1554110449200).

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

455723413200 is a wasteful number, since it uses less digits than its factorization.

455723413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 455723413200 in words is "four hundred fifty-five billion, seven hundred twenty-three million, four hundred thirteen thousand, two hundred".