380224 has 28 divisors (see below), whose sum is σ = 814324. Its totient is φ = 175104.

The previous prime is 380207. The next prime is 380231. The reversal of 380224 is 422083.

It is a happy number.

380224 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 193600 + 186624 = 440^2 + 432^2 .

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, 604 + ... + 1060.

It is an arithmetic number, because the mean of its divisors is an integer number (29083).

2³⁸⁰²²⁴ 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 380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407162).

380224 is an abundant number, since it is smaller than the sum of its proper divisors (434100).

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

380224 is a wasteful number, since it uses less digits than its factorization.

380224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 380224 is about 616.6230615214. The cubic root of 380224 is about 72.4457938059.

The spelling of 380224 in words is "three hundred eighty thousand, two hundred twenty-four".