384200 has 48 divisors (see below), whose sum is σ = 954180. Its totient is φ = 143360.

The previous prime is 384193. The next prime is 384203. The reversal of 384200 is 2483.

384200 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 6 ways, for example, as 77284 + 306916 = 278^2 + 554^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 384200.

It is not an unprimeable number, because it can be changed into a prime (384203) by changing a digit.

384200 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, 3344 + ... + 3456.

2³⁸⁴²⁰⁰ 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 384200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477090).

384200 is an abundant number, since it is smaller than the sum of its proper divisors (569980).

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

384200 is a wasteful number, since it uses less digits than its factorization.

384200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 384200 is about 619.8386886925. The cubic root of 384200 is about 72.6974404161.

Adding to 384200 its reverse (2483), we get a palindrome (386683).

The spelling of 384200 in words is "three hundred eighty-four thousand, two hundred".