242414848 has 72 divisors (see below), whose sum is σ = 543932928. Its totient is φ = 106985472.

The previous prime is 242414833. The next prime is 242414873. The reversal of 242414848 is 848414242.

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 7 ways as a sum of consecutive naturals, for example, 74961 + ... + 78127.

It is an arithmetic number, because the mean of its divisors is an integer number (7554624).

Almost surely, 2^242414848 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 242414848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271966464).

242414848 is an abundant number, since it is smaller than the sum of its proper divisors (301518080).

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

242414848 is a wasteful number, since it uses less digits than its factorization.

242414848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3205 counting only the distinct ones).

The product of its digits is 65536, while the sum is 37.

The square root of 242414848 is about 15569.6771963968. The cubic root of 242414848 is about 623.5238532902.

The spelling of 242414848 in words is "two hundred forty-two million, four hundred fourteen thousand, eight hundred forty-eight".