242456760 has 256 divisors, whose sum is σ = 995097600. Its totient is φ = 51134976.

The previous prime is 242456759. The next prime is 242456813. The reversal of 242456760 is 67654242.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97047 + ... + 99513.

It is an arithmetic number, because the mean of its divisors is an integer number (3887100).

Almost surely, 2^242456760 is an apocalyptic number.

242456760 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 242456760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497548800).

242456760 is an abundant number, since it is smaller than the sum of its proper divisors (752640840).

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

242456760 is a wasteful number, since it uses less digits than its factorization.

242456760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 242456760 is about 15571.0230877743. The cubic root of 242456760 is about 623.5597856681.

The spelling of 242456760 in words is "two hundred forty-two million, four hundred fifty-six thousand, seven hundred sixty".