242396920 has 64 divisors (see below), whose sum is σ = 568088640. Its totient is φ = 93004800.

The previous prime is 242396909. The next prime is 242396933. The reversal of 242396920 is 29693242.

It is a self number, because there is not a number n which added to its sum of digits gives 242396920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98829 + ... + 101251.

It is an arithmetic number, because the mean of its divisors is an integer number (8876385).

Almost surely, 2^242396920 is an apocalyptic number.

242396920 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 242396920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284044320).

242396920 is an abundant number, since it is smaller than the sum of its proper divisors (325691720).

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

242396920 is a wasteful number, since it uses less digits than its factorization.

242396920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 242396920 is about 15569.1014512720. The cubic root of 242396920 is about 623.5084818291.

The spelling of 242396920 in words is "two hundred forty-two million, three hundred ninety-six thousand, nine hundred twenty".