383904 has 72 divisors (see below), whose sum is σ = 1153152. Its totient is φ = 120960.

The previous prime is 383891. The next prime is 383909. The reversal of 383904 is 409383.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (383909) by changing a digit.

383904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8907 + ... + 8949.

It is an arithmetic number, because the mean of its divisors is an integer number (16016).

2³⁸³⁹⁰⁴ 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 383904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576576).

383904 is an abundant number, since it is smaller than the sum of its proper divisors (769248).

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

383904 is a wasteful number, since it uses less digits than its factorization.

383904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 383904 is about 619.5998708844. The cubic root of 383904 is about 72.6787661398.

The spelling of 383904 in words is "three hundred eighty-three thousand, nine hundred four".