239200 has 72 divisors (see below), whose sum is σ = 656208. Its totient is φ = 84480.

The previous prime is 239179. The next prime is 239201. The reversal of 239200 is 2932.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239201) by changing a digit.

239200 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, 10389 + ... + 10411.

It is an arithmetic number, because the mean of its divisors is an integer number (9114).

2²³⁹²⁰⁰ is an apocalyptic number.

239200 is a gapful number since it is divisible by the number (20) 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 239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328104).

239200 is an abundant number, since it is smaller than the sum of its proper divisors (417008).

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

239200 is a wasteful number, since it uses less digits than its factorization.

239200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 239200 is about 489.0807704255. The cubic root of 239200 is about 62.0755236436.

It can be divided in two parts, 23 and 9200, that multiplied together give a square (211600 = 460²).

The spelling of 239200 in words is "two hundred thirty-nine thousand, two hundred".