452352700800 has 3456 divisors, whose sum is σ = 2339766673920. Its totient is φ = 80510976000.

The previous prime is 452352700771. The next prime is 452352700819. The reversal of 452352700800 is 8007253254.

452352700800 is a `hidden beast` number, since 4 + 52 + 3 + 527 + 0 + 0 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6371164765 + ... + 6371164835.

It is an arithmetic number, because the mean of its divisors is an integer number (677015820).

Almost surely, 2^452352700800 is an apocalyptic number.

452352700800 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 452352700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169883336960).

452352700800 is an abundant number, since it is smaller than the sum of its proper divisors (1887413973120).

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

452352700800 is a wasteful number, since it uses less digits than its factorization.

452352700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 452352700800 in words is "four hundred fifty-two billion, three hundred fifty-two million, seven hundred thousand, eight hundred".