380200 has 24 divisors (see below), whose sum is σ = 884430. Its totient is φ = 152000.

The previous prime is 380197. The next prime is 380201. The reversal of 380200 is 2083.

It can be written as a sum of positive squares in 3 ways, for example, as 191844 + 188356 = 438^2 + 434^2 .

It is not an unprimeable number, because it can be changed into a prime (380201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 751 + ... + 1150.

2³⁸⁰²⁰⁰ is an apocalyptic number.

It is an amenable number.

380200 is an abundant number, since it is smaller than the sum of its proper divisors (504230).

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

380200 is a wasteful number, since it uses less digits than its factorization.

380200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 380200 is about 616.6036003787. The cubic root of 380200 is about 72.4442694977. Note that the first 3 decimals are identical.

Adding to 380200 its reverse (2083), we get a palindrome (382283).

The spelling of 380200 in words is "three hundred eighty thousand, two hundred".