242796960 has 576 divisors, whose sum is σ = 1047997440. Its totient is φ = 52254720.

The previous prime is 242796943. The next prime is 242796973. The reversal of 242796960 is 69697242.

242796960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 6562062 + ... + 6562098.

It is an arithmetic number, because the mean of its divisors is an integer number (1819440).

Almost surely, 2^242796960 is an apocalyptic number.

242796960 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 242796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523998720).

242796960 is an abundant number, since it is smaller than the sum of its proper divisors (805200480).

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

242796960 is a wasteful number, since it uses less digits than its factorization.

242796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 242796960 is about 15581.9433961236. The cubic root of 242796960 is about 623.8512959264.

The spelling of 242796960 in words is "two hundred forty-two million, seven hundred ninety-six thousand, nine hundred sixty".