398092878630225 has 81 divisors (see below), whose sum is σ = 723866096117073. Its totient is φ = 209136768603840.

The previous prime is 398092878630211. The next prime is 398092878630253. The reversal of 398092878630225 is 522036878290893.

The square root of 398092878630225 is 19952265.

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

398092878630225 is a `hidden beast` number, since 3 + 9 + 80 + 92 + 87 + 86 + 302 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95830453225809 + 302262425404416 = 9789303^2 + 17385696^2 .

It is not a de Polignac number, because 398092878630225 - 2⁵ = 398092878630193 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20052016399 + ... + 20052036251.

Almost surely, 2^{398092878630225} is an apocalyptic number.

398092878630225 is the 19952265-th square number.

398092878630225 is the 9976133-rd centered octagonal number.

It is an amenable number.

398092878630225 is a deficient number, since it is larger than the sum of its proper divisors (325773217486848).

398092878630225 is an frugal number, since it uses more digits than its factorization.

398092878630225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39856 (or 19928 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 398092878630225 in words is "three hundred ninety-eight trillion, ninety-two billion, eight hundred seventy-eight million, six hundred thirty thousand, two hundred twenty-five".