238824 has 48 divisors (see below), whose sum is σ = 673920. Its totient is φ = 76320.

The previous prime is 238801. The next prime is 238829. The reversal of 238824 is 428832.

238824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 238824.

It is not an unprimeable number, because it can be changed into a prime (238829) by changing a digit.

238824 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, 2179 + ... + 2285.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2²³⁸⁸²⁴ is an apocalyptic number.

238824 is a gapful number since it is divisible by the number (24) 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 238824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336960).

238824 is an abundant number, since it is smaller than the sum of its proper divisors (435096).

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

238824 is a wasteful number, since it uses less digits than its factorization.

238824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 143 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 238824 is about 488.6962246631. The cubic root of 238824 is about 62.0429809496.

The spelling of 238824 in words is "two hundred thirty-eight thousand, eight hundred twenty-four".