242400960 has 168 divisors, whose sum is σ = 882981216. Its totient is φ = 60825600.

The previous prime is 242400929. The next prime is 242400971. The reversal of 242400960 is 69004242.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46485 + ... + 51435.

Almost surely, 2^242400960 is an apocalyptic number.

242400960 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 242400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441490608).

242400960 is an abundant number, since it is smaller than the sum of its proper divisors (640580256).

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

242400960 is a wasteful number, since it uses less digits than its factorization.

242400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 242400960 is about 15569.2311948921. The cubic root of 242400960 is about 623.5119457899.

The spelling of 242400960 in words is "two hundred forty-two million, four hundred thousand, nine hundred sixty".