392800992 has 96 divisors (see below), whose sum is σ = 1102429440. Its totient is φ = 122158080.

The previous prime is 392800987. The next prime is 392801009. The reversal of 392800992 is 299008293.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88359 + ... + 92697.

It is an arithmetic number, because the mean of its divisors is an integer number (11483640).

Almost surely, 2^392800992 is an apocalyptic number.

392800992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392800992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551214720).

392800992 is an abundant number, since it is smaller than the sum of its proper divisors (709628448).

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

392800992 is a wasteful number, since it uses less digits than its factorization.

392800992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 392800992 is about 19819.2076531833. The cubic root of 392800992 is about 732.3592849403.

The spelling of 392800992 in words is "three hundred ninety-two million, eight hundred thousand, nine hundred ninety-two".