372484800 has 126 divisors (see below), whose sum is σ = 1323950108. Its totient is φ = 99325440.

The previous prime is 372484799. The next prime is 372484811. The reversal of 372484800 is 8484273.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1467 + ... + 27333.

Almost surely, 2^372484800 is an apocalyptic number.

372484800 is a gapful number since it is divisible by the number (30) 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 372484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661975054).

372484800 is an abundant number, since it is smaller than the sum of its proper divisors (951465308).

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

372484800 is a wasteful number, since it uses less digits than its factorization.

372484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25895 (or 25877 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 372484800 is about 19299.8652845039. The cubic root of 372484800 is about 719.5089243976.

The spelling of 372484800 in words is "three hundred seventy-two million, four hundred eighty-four thousand, eight hundred".