242424144 has 80 divisors (see below), whose sum is σ = 712871040. Its totient is φ = 78831360.

The previous prime is 242424113. The next prime is 242424179. The reversal of 242424144 is 441424242.

242424144 is a `hidden beast` number, since 2 + 4 + 242 + 414 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10869 + ... + 24555.

It is an arithmetic number, because the mean of its divisors is an integer number (8910888).

Almost surely, 2^242424144 is an apocalyptic number.

242424144 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 242424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356435520).

242424144 is an abundant number, since it is smaller than the sum of its proper divisors (470446896).

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

242424144 is a wasteful number, since it uses less digits than its factorization.

242424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13745 (or 13733 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 242424144 is about 15569.9757225244. The cubic root of 242424144 is about 623.5318233791.

Adding to 242424144 its reverse (441424242), we get a palindrome (683848386).

The spelling of 242424144 in words is "two hundred forty-two million, four hundred twenty-four thousand, one hundred forty-four".