242645872 has 80 divisors (see below), whose sum is σ = 561339072. Its totient is φ = 99440640.

The previous prime is 242645867. The next prime is 242645891. The reversal of 242645872 is 278546242.

242645872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 242878 + ... + 243874.

Almost surely, 2^242645872 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 242645872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280669536).

242645872 is an abundant number, since it is smaller than the sum of its proper divisors (318693200).

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

242645872 is a wasteful number, since it uses less digits than its factorization.

242645872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1100 counting only the distinct ones).

The product of its digits is 215040, while the sum is 40.

The square root of 242645872 is about 15577.0944659137. The cubic root of 242645872 is about 623.7218654169.

The spelling of 242645872 in words is "two hundred forty-two million, six hundred forty-five thousand, eight hundred seventy-two".