452624140200960 has 8448 divisors, whose sum is σ = 2222028155289600. Its totient is φ = 87406679162880.

The previous prime is 452624140200923. The next prime is 452624140201031. The reversal of 452624140200960 is 69002041426254.

It is a happy number.

452624140200960 is a `hidden beast` number, since 4 + 5 + 2 + 624 + 14 + 0 + 2 + 0 + 0 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×452624140200960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5085664496596 + ... + 5085664496684.

Almost surely, 2^{452624140200960} is an apocalyptic number.

452624140200960 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 452624140200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111014077644800).

452624140200960 is an abundant number, since it is smaller than the sum of its proper divisors (1769404015088640).

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

452624140200960 is a wasteful number, since it uses less digits than its factorization.

452624140200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 452624140200960 in words is "four hundred fifty-two trillion, six hundred twenty-four billion, one hundred forty million, two hundred thousand, nine hundred sixty".