242424 has 96 divisors (see below), whose sum is σ = 829920. Its totient is φ = 62208.

The previous prime is 242419. The next prime is 242441. The reversal of 242424 is 424242.

242424 is a `hidden beast` number, since 242 + 424 = 666.

242424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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.

242424 is an undulating number in base 10.

242424 is a modest number, since divided by 2424 gives 24 as remainder.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 242397 and 242406.

It is a congruent number.

It is an unprimeable number.

242424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6534 + ... + 6570.

It is an arithmetic number, because the mean of its divisors is an integer number (8645).

2²⁴²⁴²⁴ is an apocalyptic number.

242424 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 242424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414960).

242424 is an abundant number, since it is smaller than the sum of its proper divisors (587496).

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

242424 is a wasteful number, since it uses less digits than its factorization.

242424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 62 counting only the distinct ones).

The product of its digits is 512, while the sum is 18.

The square root of 242424 is about 492.3657177343. The cubic root of 242424 is about 62.3531699920.

Adding to 242424 its reverse (424242), we get a palindrome (666666).

It can be divided in two parts, 242 and 424, that added together give a palindrome (666).

The spelling of 242424 in words is "two hundred forty-two thousand, four hundred twenty-four", and thus it is an iban number.