390368792025 has 81 divisors (see below), whose sum is σ = 731319162847. Its totient is φ = 199034695200.

The previous prime is 390368792003. The next prime is 390368792029. The reversal of 390368792025 is 520297863093.

It is a happy number.

The square root of 390368792025 is 624795.

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

390368792025 is a `hidden beast` number, since 3 + 9 + 0 + 368 + 79 + 202 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 140532765129 + 249836026896 = 374877^2 + 499836^2 .

It is not a de Polignac number, because 390368792025 - 2⁵ = 390368791993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (390368792029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 215553370 + ... + 215555180.

Almost surely, 2^390368792025 is an apocalyptic number.

390368792025 is the 624795-th square number.

390368792025 is the 312398-th centered octagonal number.

It is an amenable number.

390368792025 is a deficient number, since it is larger than the sum of its proper divisors (340950370822).

390368792025 is an equidigital number, since it uses as much as digits as its factorization.

390368792025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 390368792025 in words is "three hundred ninety billion, three hundred sixty-eight million, seven hundred ninety-two thousand, twenty-five".