392689920 has 216 divisors, whose sum is σ = 1459612224. Its totient is φ = 89714688.

The previous prime is 392689903. The next prime is 392689949. The reversal of 392689920 is 29986293.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 392689920.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187117 + ... + 189203.

It is an arithmetic number, because the mean of its divisors is an integer number (6757464).

Almost surely, 2^392689920 is an apocalyptic number.

392689920 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 392689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729806112).

392689920 is an abundant number, since it is smaller than the sum of its proper divisors (1066922304).

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

392689920 is a wasteful number, since it uses less digits than its factorization.

392689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 392689920 is about 19816.4053248817. The cubic root of 392689920 is about 732.2902488969.

The spelling of 392689920 in words is "three hundred ninety-two million, six hundred eighty-nine thousand, nine hundred twenty".