384080 has 20 divisors (see below), whose sum is σ = 893172. Its totient is φ = 153600.

The previous prime is 384079. The next prime is 384089. The reversal of 384080 is 80483.

It can be written as a sum of positive squares in 2 ways, for example, as 179776 + 204304 = 424^2 + 452^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2321 + ... + 2480.

2³⁸⁴⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

384080 is an abundant number, since it is smaller than the sum of its proper divisors (509092).

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

384080 is a wasteful number, since it uses less digits than its factorization.

384080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4808 counting only the distinct ones).

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

The square root of 384080 is about 619.7418817540. The cubic root of 384080 is about 72.6898709200.

The spelling of 384080 in words is "three hundred eighty-four thousand, eighty".