242272008 has 72 divisors (see below), whose sum is σ = 721252350. Its totient is φ = 73413120.

The previous prime is 242272007. The next prime is 242272027. The reversal of 242272008 is 800272242.

It can be written as a sum of positive squares in only one way, i.e., 186650244 + 55621764 = 13662^2 + 7458^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242272001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5193 + ... + 22616.

Almost surely, 2^242272008 is an apocalyptic number.

It is an amenable number.

242272008 is an abundant number, since it is smaller than the sum of its proper divisors (478980342).

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

242272008 is a wasteful number, since it uses less digits than its factorization.

242272008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27843 (or 27825 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 242272008 is about 15565.0893990366. The cubic root of 242272008 is about 623.4013612798.

The spelling of 242272008 in words is "two hundred forty-two million, two hundred seventy-two thousand, eight".