384320 has 28 divisors (see below), whose sum is σ = 915924. Its totient is φ = 153600.

The previous prime is 384317. The next prime is 384331. The reversal of 384320 is 23483.

384320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 341056 = 208^2 + 584^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 384292 and 384301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 281 + ... + 920.

2³⁸⁴³²⁰ is an apocalyptic number.

It is an amenable number.

384320 is an abundant number, since it is smaller than the sum of its proper divisors (531604).

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

384320 is a wasteful number, since it uses less digits than its factorization.

384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 384320 is about 619.9354805139. The cubic root of 384320 is about 72.7050083363.

The spelling of 384320 in words is "three hundred eighty-four thousand, three hundred twenty".