242866272 has 96 divisors (see below), whose sum is σ = 702946944. Its totient is φ = 72806400.

The previous prime is 242866259. The next prime is 242866289. The reversal of 242866272 is 272668242.

242866272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 242866272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101247 + ... + 103617.

It is an arithmetic number, because the mean of its divisors is an integer number (7322364).

Almost surely, 2^242866272 is an apocalyptic number.

242866272 is a gapful number since it is divisible by the number (22) 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 242866272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351473472).

242866272 is an abundant number, since it is smaller than the sum of its proper divisors (460080672).

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

242866272 is a wasteful number, since it uses less digits than its factorization.

242866272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2484 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 242866272 is about 15584.1673502308. The cubic root of 242866272 is about 623.9106545321.

The spelling of 242866272 in words is "two hundred forty-two million, eight hundred sixty-six thousand, two hundred seventy-two".