392876986401 has 9 divisors (see below), whose sum is σ = 567491696499. Its totient is φ = 261916737336.

The previous prime is 392876986393. The next prime is 392876986409. The reversal of 392876986401 is 104689678293.

The square root of 392876986401 is 626799.

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

392876986401 is a `hidden beast` number, since 3 + 92 + 8 + 7 + 69 + 86 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (392876986393) and next prime (392876986409).

It can be written as a sum of positive squares in only one way, i.e., 53132555025 + 339744431376 = 230505^2 + 582876^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 392876986401 - 2³ = 392876986393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (392876986409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1775931 + ... + 1984863.

Almost surely, 2^392876986401 is an apocalyptic number.

392876986401 is the 626799-th square number.

392876986401 is the 313400-th centered octagonal number.

It is an amenable number.

392876986401 is a deficient number, since it is larger than the sum of its proper divisors (174614710098).

392876986401 is an frugal number, since it uses more digits than its factorization.

392876986401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417872 (or 208936 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 392876986401 in words is "three hundred ninety-two billion, eight hundred seventy-six million, nine hundred eighty-six thousand, four hundred one".