392867904 has 224 divisors, whose sum is σ = 1254556800. Its totient is φ = 106905600.

The previous prime is 392867903. The next prime is 392867911. The reversal of 392867904 is 409768293.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392867903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1125522 + ... + 1125870.

It is an arithmetic number, because the mean of its divisors is an integer number (5600700).

Almost surely, 2^392867904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392867904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627278400).

392867904 is an abundant number, since it is smaller than the sum of its proper divisors (861688896).

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

392867904 is a wasteful number, since it uses less digits than its factorization.

392867904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 392867904 is about 19820.8956407121. The cubic root of 392867904 is about 732.4008673558.

The spelling of 392867904 in words is "three hundred ninety-two million, eight hundred sixty-seven thousand, nine hundred four".