233424 has 30 divisors (see below), whose sum is σ = 653666. Its totient is φ = 77760.

The previous prime is 233423. The next prime is 233437. The reversal of 233424 is 424332.

233424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 219024 + 14400 = 468^2 + 120^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 233397 and 233406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 667 + ... + 954.

2²³³⁴²⁴ is an apocalyptic number.

233424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233424 is an abundant number, since it is smaller than the sum of its proper divisors (420242).

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

233424 is a wasteful number, since it uses less digits than its factorization.

233424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1626 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 233424 is about 483.1397313407. The cubic root of 233424 is about 61.5717979635.

Adding to 233424 its reverse (424332), we get a palindrome (657756).

The spelling of 233424 in words is "two hundred thirty-three thousand, four hundred twenty-four".