392338080 has 144 divisors (see below), whose sum is σ = 1388578464. Its totient is φ = 104613120.

The previous prime is 392338073. The next prime is 392338081. The reversal of 392338080 is 80833293.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (392338081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33835 + ... + 43925.

It is an arithmetic number, because the mean of its divisors is an integer number (9642906).

Almost surely, 2^392338080 is an apocalyptic number.

392338080 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 392338080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694289232).

392338080 is an abundant number, since it is smaller than the sum of its proper divisors (996240384).

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

392338080 is a wasteful number, since it uses less digits than its factorization.

392338080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10121 (or 10101 counting only the distinct ones).

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

The square root of 392338080 is about 19807.5258424670. The cubic root of 392338080 is about 732.0714791795.

The spelling of 392338080 in words is "three hundred ninety-two million, three hundred thirty-eight thousand, eighty".