392864 has 12 divisors (see below), whose sum is σ = 773514. Its totient is φ = 196416.

The previous prime is 392857. The next prime is 392879. The reversal of 392864 is 468293.

It can be written as a sum of positive squares in only one way, i.e., 384400 + 8464 = 620^2 + 92^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 12277 = 392864 / (3 + 9 + 2 + 8 + 6 + 4).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 392864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6107 + ... + 6170.

2³⁹²⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

392864 is a deficient number, since it is larger than the sum of its proper divisors (380650).

392864 is a wasteful number, since it uses less digits than its factorization.

392864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12287 (or 12279 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 392864 is about 626.7886406118. The cubic root of 392864 is about 73.2398441347.

The spelling of 392864 in words is "three hundred ninety-two thousand, eight hundred sixty-four".