372506400 has 432 divisors, whose sum is σ = 1584273600. Its totient is φ = 80455680.

The previous prime is 372506389. The next prime is 372506441. The reversal of 372506400 is 4605273.

It is a happy number.

372506400 is a `hidden beast` number, since 3 + 7 + 250 + 6 + 400 = 666.

It is a super-2 number, since 2×372506400² = 277522036081920000, which contains 22 as substring.

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, 957406 + ... + 957794.

It is an arithmetic number, because the mean of its divisors is an integer number (3667300).

Almost surely, 2^372506400 is an apocalyptic number.

372506400 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 372506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792136800).

372506400 is an abundant number, since it is smaller than the sum of its proper divisors (1211767200).

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

372506400 is a wasteful number, since it uses less digits than its factorization.

372506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 372506400 is about 19300.4248657899. The cubic root of 372506400 is about 719.5228319828.

The spelling of 372506400 in words is "three hundred seventy-two million, five hundred six thousand, four hundred".