242986848 has 144 divisors (see below), whose sum is σ = 732137616. Its totient is φ = 70287360.

The previous prime is 242986847. The next prime is 242986867. The reversal of 242986848 is 848689242.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 242986848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242986841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275368 + ... + 276248.

It is an arithmetic number, because the mean of its divisors is an integer number (5084289).

Almost surely, 2^242986848 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 242986848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366068808).

242986848 is an abundant number, since it is smaller than the sum of its proper divisors (489150768).

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

242986848 is a wasteful number, since it uses less digits than its factorization.

242986848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 916 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 242986848 is about 15588.0354118151. The cubic root of 242986848 is about 624.0138885798.

The spelling of 242986848 in words is "two hundred forty-two million, nine hundred eighty-six thousand, eight hundred forty-eight".