392407680 has 384 divisors, whose sum is σ = 1504198080. Its totient is φ = 86704128.

The previous prime is 392407663. The next prime is 392407709. The reversal of 392407680 is 86704293.

392407680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4045392 + ... + 4045488.

Almost surely, 2^392407680 is an apocalyptic number.

392407680 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 392407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752099040).

392407680 is an abundant number, since it is smaller than the sum of its proper divisors (1111790400).

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

392407680 is a wasteful number, since it uses less digits than its factorization.

392407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 392407680 is about 19809.2826725250. The cubic root of 392407680 is about 732.1147659645.

The spelling of 392407680 in words is "three hundred ninety-two million, four hundred seven thousand, six hundred eighty".