390686252401 has 9 divisors (see below), whose sum is σ = 393066400449. Its totient is φ = 388320441936.

The previous prime is 390686252353. The next prime is 390686252449. The reversal of 390686252401 is 104252686093.

The square root of 390686252401 is 625049.

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

It is an interprime number because it is at equal distance from previous prime (390686252353) and next prime (390686252449).

It can be written as a sum of positive squares in 4 ways, for example, as 30206092401 + 360480160000 = 173799^2 + 600400^2 .

It is not a de Polignac number, because 390686252401 - 2⁷ = 390686252273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (390686252491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 108131671 + ... + 108135283.

Almost surely, 2^390686252401 is an apocalyptic number.

390686252401 is the 625049-th square number.

390686252401 is the 312525-th centered octagonal number.

It is an amenable number.

390686252401 is a deficient number, since it is larger than the sum of its proper divisors (2380148048).

390686252401 is an frugal number, since it uses more digits than its factorization.

390686252401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 390686252401 in words is "three hundred ninety billion, six hundred eighty-six million, two hundred fifty-two thousand, four hundred one".