242409860 has 144 divisors (see below), whose sum is σ = 654998400. Its totient is φ = 74511360.

The previous prime is 242409823. The next prime is 242409899. The reversal of 242409860 is 68904242.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 242409860.

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, 1218041 + ... + 1218239.

It is an arithmetic number, because the mean of its divisors is an integer number (4548600).

Almost surely, 2^242409860 is an apocalyptic number.

242409860 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 242409860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327499200).

242409860 is an abundant number, since it is smaller than the sum of its proper divisors (412588540).

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

242409860 is a wasteful number, since it uses less digits than its factorization.

242409860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 242409860 is about 15569.5170124189. The cubic root of 242409860 is about 623.5195766568.

The spelling of 242409860 in words is "two hundred forty-two million, four hundred nine thousand, eight hundred sixty".