452683912800 has 432 divisors, whose sum is σ = 1718333144640. Its totient is φ = 103212426240.

The previous prime is 452683912777. The next prime is 452683912817. The reversal of 452683912800 is 8219386254.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 452683912800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49269807 + ... + 49278993.

It is an arithmetic number, because the mean of its divisors is an integer number (3977623020).

Almost surely, 2^452683912800 is an apocalyptic number.

452683912800 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 452683912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859166572320).

452683912800 is an abundant number, since it is smaller than the sum of its proper divisors (1265649231840).

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

452683912800 is a wasteful number, since it uses less digits than its factorization.

452683912800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9643 (or 9623 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 452683912800 in words is "four hundred fifty-two billion, six hundred eighty-three million, nine hundred twelve thousand, eight hundred".