381200 has 30 divisors (see below), whose sum is σ = 916794. Its totient is φ = 152320.

The previous prime is 381181. The next prime is 381209. The reversal of 381200 is 2183.

381200 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 3 ways, for example, as 16384 + 364816 = 128^2 + 604^2 .

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 381200.

It is not an unprimeable number, because it can be changed into a prime (381209) by changing a digit.

381200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77 + ... + 876.

2³⁸¹²⁰⁰ 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 381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458397).

381200 is an abundant number, since it is smaller than the sum of its proper divisors (535594).

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

381200 is a wasteful number, since it uses less digits than its factorization.

381200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 381200 is about 617.4139616173. The cubic root of 381200 is about 72.5077280704.

Adding to 381200 its reverse (2183), we get a palindrome (383383).

The spelling of 381200 in words is "three hundred eighty-one thousand, two hundred".