383800 has 48 divisors (see below), whose sum is σ = 948600. Its totient is φ = 144000.

The previous prime is 383797. The next prime is 383807. The reversal of 383800 is 8383.

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 383800.

It is not an unprimeable number, because it can be changed into a prime (383807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3750 + ... + 3850.

2³⁸³⁸⁰⁰ 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 383800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474300).

383800 is an abundant number, since it is smaller than the sum of its proper divisors (564800).

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

383800 is a wasteful number, since it uses less digits than its factorization.

383800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 383800 is about 619.5159400693. The cubic root of 383800 is about 72.6722026289.

It can be divided in two parts, 38 and 3800, that multiplied together give a square (144400 = 380²).

The spelling of 383800 in words is "three hundred eighty-three thousand, eight hundred".