380900 has 36 divisors (see below), whose sum is σ = 893172. Its totient is φ = 140160.

The previous prime is 380881. The next prime is 380909. The reversal of 380900 is 9083.

It can be written as a sum of positive squares in 6 ways, for example, as 1444 + 379456 = 38^2 + 616^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 380900.

It is not an unprimeable number, because it can be changed into a prime (380909) by changing a digit.

380900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1154 + ... + 1446.

2³⁸⁰⁹⁰⁰ 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 380900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446586).

380900 is an abundant number, since it is smaller than the sum of its proper divisors (512272).

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

380900 is a wasteful number, since it uses less digits than its factorization.

380900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 380900 is about 617.1709649684. The cubic root of 380900 is about 72.4887021634.

Adding to 380900 its reverse (9083), we get a palindrome (389983).

The spelling of 380900 in words is "three hundred eighty thousand, nine hundred".