452944800 has 864 divisors, whose sum is σ = 2144862720. Its totient is φ = 87091200.

The previous prime is 452944759. The next prime is 452944801. The reversal of 452944800 is 8449254.

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 not an unprimeable number, because it can be changed into a prime (452944801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 10533579 + ... + 10533621.

It is an arithmetic number, because the mean of its divisors is an integer number (2482480).

Almost surely, 2^452944800 is an apocalyptic number.

452944800 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 452944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360).

452944800 is an abundant number, since it is smaller than the sum of its proper divisors (1691917920).

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

452944800 is a wasteful number, since it uses less digits than its factorization.

452944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 452944800 is about 21282.4998531657. The cubic root of 452944800 is about 767.9773756356.

The spelling of 452944800 in words is "four hundred fifty-two million, nine hundred forty-four thousand, eight hundred".