368230512400 has 45 divisors (see below), whose sum is σ = 884702964703. Its totient is φ = 147287350400.

The previous prime is 368230512373. The next prime is 368230512421. The reversal of 368230512400 is 4215032863.

The square root of 368230512400 is 606820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 87822137104 + 280408375296 = 296348^2 + 529536^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12121230 + ... + 12151570.

Almost surely, 2^368230512400 is an apocalyptic number.

368230512400 is the 606820-th square number.

It is an amenable number.

368230512400 is an abundant number, since it is smaller than the sum of its proper divisors (516472452303).

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

368230512400 is an frugal number, since it uses more digits than its factorization.

368230512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60700 (or 30348 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 368230512400 in words is "three hundred sixty-eight billion, two hundred thirty million, five hundred twelve thousand, four hundred".