380424 has 48 divisors (see below), whose sum is σ = 1053360. Its totient is φ = 114400.

The previous prime is 380423. The next prime is 380441. The reversal of 380424 is 424083.

It is a happy number.

380424 is nontrivially palindromic in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 380424.

It is not an unprimeable number, because it can be changed into a prime (380423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2839 + ... + 2969.

It is an arithmetic number, because the mean of its divisors is an integer number (21945).

2³⁸⁰⁴²⁴ 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 380424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526680).

380424 is an abundant number, since it is smaller than the sum of its proper divisors (672936).

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

380424 is a wasteful number, since it uses less digits than its factorization.

380424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 380424 is about 616.7852138306. The cubic root of 380424 is about 72.4584938801.

It can be divided in two parts, 3804 and 24, that added together give a triangular number (3828 = T₈₇).

The spelling of 380424 in words is "three hundred eighty thousand, four hundred twenty-four".