239424 has 56 divisors (see below), whose sum is σ = 670560. Its totient is φ = 75264.

The previous prime is 239423. The next prime is 239429. The reversal of 239424 is 424932.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 239394 and 239403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5547 + ... + 5589.

2²³⁹⁴²⁴ is an apocalyptic number.

239424 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 239424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335280).

239424 is an abundant number, since it is smaller than the sum of its proper divisors (431136).

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

239424 is a wasteful number, since it uses less digits than its factorization.

239424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 77 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 239424 is about 489.3097178679. The cubic root of 239424 is about 62.0948945733.

The spelling of 239424 in words is "two hundred thirty-nine thousand, four hundred twenty-four".