392384160 has 432 divisors, whose sum is σ = 1599919776. Its totient is φ = 87284736.

The previous prime is 392384131. The next prime is 392384171. The reversal of 392384160 is 61483293.

392384160 is a `hidden beast` number, since 3 + 9 + 238 + 416 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4727479 + ... + 4727561.

It is an arithmetic number, because the mean of its divisors is an integer number (3703518).

Almost surely, 2^392384160 is an apocalyptic number.

392384160 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 392384160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799959888).

392384160 is an abundant number, since it is smaller than the sum of its proper divisors (1207535616).

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

392384160 is a wasteful number, since it uses less digits than its factorization.

392384160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 392384160 is about 19808.6890025564. The cubic root of 392384160 is about 732.1001385891.

The spelling of 392384160 in words is "three hundred ninety-two million, three hundred eighty-four thousand, one hundred sixty".