392090400 has 432 divisors, whose sum is σ = 1535526720. Its totient is φ = 93542400.

The previous prime is 392090381. The next prime is 392090417. The reversal of 392090400 is 4090293.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5522365 + ... + 5522435.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^392090400 is an apocalyptic number.

392090400 is a gapful number since it is divisible by the number (30) 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 392090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767763360).

392090400 is an abundant number, since it is smaller than the sum of its proper divisors (1143436320).

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

392090400 is a wasteful number, since it uses less digits than its factorization.

392090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 392090400 is about 19801.2726863704. The cubic root of 392090400 is about 731.9173963941.

The spelling of 392090400 in words is "three hundred ninety-two million, ninety thousand, four hundred".