368812400 has 120 divisors (see below), whose sum is σ = 976760400. Its totient is φ = 132710400.

The previous prime is 368812391. The next prime is 368812403. The reversal of 368812400 is 4218863.

368812400 = 239² + 240² + ... + 1038².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368812403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479216 + ... + 479984.

It is an arithmetic number, because the mean of its divisors is an integer number (8139670).

Almost surely, 2^368812400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488380200).

368812400 is an abundant number, since it is smaller than the sum of its proper divisors (607948000).

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

368812400 is a wasteful number, since it uses less digits than its factorization.

368812400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 368812400 is about 19204.4890585509. The cubic root of 368812400 is about 717.1365178072.

The spelling of 368812400 in words is "three hundred sixty-eight million, eight hundred twelve thousand, four hundred".