242414656 has 56 divisors (see below), whose sum is σ = 528523200. Its totient is φ = 109401600.

The previous prime is 242414647. The next prime is 242414707. The reversal of 242414656 is 656414242.

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 7 ways as a sum of consecutive naturals, for example, 103741 + ... + 106051.

Almost surely, 2^242414656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264261600).

242414656 is an abundant number, since it is smaller than the sum of its proper divisors (286108544).

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

242414656 is a wasteful number, since it uses less digits than its factorization.

242414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2473 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 242414656 is about 15569.6710305645. The cubic root of 242414656 is about 623.5236886735.

Adding to 242414656 its reverse (656414242), we get a palindrome (898828898).

The spelling of 242414656 in words is "two hundred forty-two million, four hundred fourteen thousand, six hundred fifty-six".