398167310025 has 243 divisors, whose sum is σ = 783619712967. Its totient is φ = 193238971200.

The previous prime is 398167310003. The next prime is 398167310029. The reversal of 398167310025 is 520013761893.

The square root of 398167310025 is 631005.

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

It can be written as a sum of positive squares in only one way, i.e., 143340231609 + 254827078416 = 378603^2 + 504804^2 .

It is not a de Polignac number, because 398167310025 - 2¹⁵ = 398167277257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (398167310029) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6748598446 + ... + 6748598504.

Almost surely, 2^398167310025 is an apocalyptic number.

398167310025 is the 631005-th square number.

398167310025 is the 315503-rd centered octagonal number.

It is an amenable number.

398167310025 is a deficient number, since it is larger than the sum of its proper divisors (385452402942).

398167310025 is a wasteful number, since it uses less digits than its factorization.

398167310025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 398167310025 in words is "three hundred ninety-eight billion, one hundred sixty-seven million, three hundred ten thousand, twenty-five".