385904 has 20 divisors (see below), whose sum is σ = 758880. Its totient is φ = 190080.

The previous prime is 385901. The next prime is 385907. The reversal of 385904 is 409583.

385904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (385901) and next prime (385907).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1289 + ... + 1559.

It is an arithmetic number, because the mean of its divisors is an integer number (37944).

2³⁸⁵⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

385904 is a deficient number, since it is larger than the sum of its proper divisors (372976).

385904 is a wasteful number, since it uses less digits than its factorization.

385904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 385904 is about 621.2117191425. The cubic root of 385904 is about 72.8047575686.

The spelling of 385904 in words is "three hundred eighty-five thousand, nine hundred four".