242287008 has 96 divisors (see below), whose sum is σ = 652538880. Its totient is φ = 78693120.

The previous prime is 242286997. The next prime is 242287013. The reversal of 242287008 is 800782242.

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 242287008.

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, 893913 + ... + 894183.

It is an arithmetic number, because the mean of its divisors is an integer number (6797280).

Almost surely, 2^242287008 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 242287008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326269440).

242287008 is an abundant number, since it is smaller than the sum of its proper divisors (410251872).

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

242287008 is a wasteful number, since it uses less digits than its factorization.

242287008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 242287008 is about 15565.5712391162. The cubic root of 242287008 is about 623.4142267466.

The spelling of 242287008 in words is "two hundred forty-two million, two hundred eighty-seven thousand, eight".