372830400 has 252 divisors, whose sum is σ = 1403997192. Its totient is φ = 93511680.

The previous prime is 372830377. The next prime is 372830401. The reversal of 372830400 is 4038273.

It is not an unprimeable number, because it can be changed into a prime (372830401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244039 + ... + 245561.

Almost surely, 2^372830400 is an apocalyptic number.

372830400 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 372830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701998596).

372830400 is an abundant number, since it is smaller than the sum of its proper divisors (1031166792).

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

372830400 is a wasteful number, since it uses less digits than its factorization.

372830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 372830400 is about 19308.8166390382. The cubic root of 372830400 is about 719.7313812773.

Adding to 372830400 its reverse (4038273), we get a palindrome (376868673).

The spelling of 372830400 in words is "three hundred seventy-two million, eight hundred thirty thousand, four hundred".