438200 has 48 divisors (see below), whose sum is σ = 1168080. Its totient is φ = 149760.

The previous prime is 438169. The next prime is 438203. The reversal of 438200 is 2834.

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 438200.

It is not an unprimeable number, because it can be changed into a prime (438203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1244 + ... + 1556.

It is an arithmetic number, because the mean of its divisors is an integer number (24335).

2⁴³⁸²⁰⁰ is an apocalyptic number.

438200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584040).

438200 is an abundant number, since it is smaller than the sum of its proper divisors (729880).

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

438200 is a wasteful number, since it uses less digits than its factorization.

438200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

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

The square root of 438200 is about 661.9667665374. The cubic root of 438200 is about 75.9551905755.

The spelling of 438200 in words is "four hundred thirty-eight thousand, two hundred".