452246230800 has 2880 divisors, whose sum is σ = 2215029657600. Its totient is φ = 86466631680.

The previous prime is 452246230789. The next prime is 452246230841. The reversal of 452246230800 is 8032642254.

452246230800 is a `hidden beast` number, since 4 + 5 + 2 + 24 + 623 + 0 + 8 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 19662879589 + ... + 19662879611.

It is an arithmetic number, because the mean of its divisors is an integer number (769107520).

Almost surely, 2^452246230800 is an apocalyptic number.

452246230800 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 452246230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107514828800).

452246230800 is an abundant number, since it is smaller than the sum of its proper divisors (1762783426800).

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

452246230800 is a wasteful number, since it uses less digits than its factorization.

452246230800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 452246230800 in words is "four hundred fifty-two billion, two hundred forty-six million, two hundred thirty thousand, eight hundred".