384800 has 72 divisors (see below), whose sum is σ = 1038996. Its totient is φ = 138240.

The previous prime is 384779. The next prime is 384817. The reversal of 384800 is 8483.

It can be written as a sum of positive squares in 6 ways, for example, as 150544 + 234256 = 388^2 + 484^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10382 + ... + 10418.

2³⁸⁴⁸⁰⁰ 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 384800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519498).

384800 is an abundant number, since it is smaller than the sum of its proper divisors (654196).

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

384800 is a wasteful number, since it uses less digits than its factorization.

384800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 384800 is about 620.3224967708. The cubic root of 384800 is about 72.7352642733.

The spelling of 384800 in words is "three hundred eighty-four thousand, eight hundred".