242847360 has 384 divisors, whose sum is σ = 1012003200. Its totient is φ = 52420608.

The previous prime is 242847301. The next prime is 242847373. The reversal of 242847360 is 63748242.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765922 + ... + 766238.

It is an arithmetic number, because the mean of its divisors is an integer number (2635425).

Almost surely, 2^242847360 is an apocalyptic number.

242847360 is a gapful number since it is divisible by the number (20) 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 242847360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506001600).

242847360 is an abundant number, since it is smaller than the sum of its proper divisors (769155840).

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

242847360 is a wasteful number, since it uses less digits than its factorization.

242847360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 242847360 is about 15583.5605687532. The cubic root of 242847360 is about 623.8944594679.

The spelling of 242847360 in words is "two hundred forty-two million, eight hundred forty-seven thousand, three hundred sixty".