392978656 has 96 divisors (see below), whose sum is σ = 912522240. Its totient is φ = 163109376.

The previous prime is 392978639. The next prime is 392978671. The reversal of 392978656 is 656879293.

Its product of digits (4898880) is a multiple of the sum of its prime divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 392978597 and 392978606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1715950 + ... + 1716178.

It is an arithmetic number, because the mean of its divisors is an integer number (9505440).

Almost surely, 2^392978656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392978656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456261120).

392978656 is an abundant number, since it is smaller than the sum of its proper divisors (519543584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

392978656 is a wasteful number, since it uses less digits than its factorization.

392978656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 55.

The square root of 392978656 is about 19823.6892631014. The cubic root of 392978656 is about 732.4696837348.

The spelling of 392978656 in words is "three hundred ninety-two million, nine hundred seventy-eight thousand, six hundred fifty-six".