380544 has 32 divisors (see below), whose sum is σ = 1011840. Its totient is φ = 126720.

The previous prime is 380533. The next prime is 380557. The reversal of 380544 is 445083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 380544.

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, 112 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (31620).

2³⁸⁰⁵⁴⁴ 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 380544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505920).

380544 is an abundant number, since it is smaller than the sum of its proper divisors (631296).

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

380544 is an equidigital number, since it uses as much as digits as its factorization.

380544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 380544 is about 616.8824847570. The cubic root of 380544 is about 72.4661117882.

The spelling of 380544 in words is "three hundred eighty thousand, five hundred forty-four".