386904 has 64 divisors (see below), whose sum is σ = 1152000. Its totient is φ = 108192.

The previous prime is 386891. The next prime is 386921. The reversal of 386904 is 409683.

386904 = T₃₀₇ + T₃₀₈ + ... + T₃₁₄.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

386904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8209 + ... + 8255.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2³⁸⁶⁹⁰⁴ 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 386904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576000).

386904 is an abundant number, since it is smaller than the sum of its proper divisors (765096).

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

386904 is a wasteful number, since it uses less digits than its factorization.

386904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 386904 is about 622.0160769626. The cubic root of 386904 is about 72.8675900875.

The spelling of 386904 in words is "three hundred eighty-six thousand, nine hundred four".