452766412800 has 2340 divisors, whose sum is σ = 2024126173080. Its totient is φ = 99373547520.

The previous prime is 452766412729. The next prime is 452766412811. The reversal of 452766412800 is 8214667254.

452766412800 is a `hidden beast` number, since 4 + 527 + 6 + 6 + 41 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2340).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 23829811191 + ... + 23829811209.

Almost surely, 2^452766412800 is an apocalyptic number.

452766412800 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 452766412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012063086540).

452766412800 is an abundant number, since it is smaller than the sum of its proper divisors (1571359760280).

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

452766412800 is a wasteful number, since it uses less digits than its factorization.

452766412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

It can be divided in two parts, 45276641 and 2800, that added together give a square (45279441 = 6729²).

The spelling of 452766412800 in words is "four hundred fifty-two billion, seven hundred sixty-six million, four hundred twelve thousand, eight hundred".