383200 has 36 divisors (see below), whose sum is σ = 937440. Its totient is φ = 152960.

The previous prime is 383179. The next prime is 383219. The reversal of 383200 is 2383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

383200 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 5 ways as a sum of consecutive naturals, for example, 561 + ... + 1039.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2³⁸³²⁰⁰ 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 383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

383200 is an abundant number, since it is smaller than the sum of its proper divisors (554240).

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

383200 is a wasteful number, since it uses less digits than its factorization.

383200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 383200 is about 619.0315016217. The cubic root of 383200 is about 72.6343130482.

Adding to 383200 its reverse (2383), we get a palindrome (385583).

The spelling of 383200 in words is "three hundred eighty-three thousand, two hundred".