384804 has 48 divisors (see below), whose sum is σ = 1142400. Its totient is φ = 109728.

The previous prime is 384779. The next prime is 384817. The reversal of 384804 is 408483.

384804 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable 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, 502 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (23800).

2³⁸⁴⁸⁰⁴ 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 384804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571200).

384804 is an abundant number, since it is smaller than the sum of its proper divisors (757596).

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

384804 is a wasteful number, since it uses less digits than its factorization.

384804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 384804 is about 620.3257208919. The cubic root of 384804 is about 72.7355163004.

The spelling of 384804 in words is "three hundred eighty-four thousand, eight hundred four".