387904 has 56 divisors (see below), whose sum is σ = 914400. Its totient is φ = 161280.

The previous prime is 387857. The next prime is 387911. The reversal of 387904 is 409783.

387904 = T₈₇ + T₈₈ + ... + T₁₄₃.

387904 = 92² + 93² + ... + 124².

It is a happy number.

387904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13362 + ... + 13390.

2³⁸⁷⁹⁰⁴ 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 387904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457200).

387904 is an abundant number, since it is smaller than the sum of its proper divisors (526496).

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

387904 is a wasteful number, since it uses less digits than its factorization.

387904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 387904 is about 622.8193959729. The cubic root of 387904 is about 72.9303144341.

The spelling of 387904 in words is "three hundred eighty-seven thousand, nine hundred four".