242341440 has 224 divisors, whose sum is σ = 857195136. Its totient is φ = 57507840.

The previous prime is 242341433. The next prime is 242341441. The reversal of 242341440 is 44143242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242341440.

It is not an unprimeable number, because it can be changed into a prime (242341441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 559464 + ... + 559896.

It is an arithmetic number, because the mean of its divisors is an integer number (3826764).

Almost surely, 2^242341440 is an apocalyptic number.

242341440 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 242341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428597568).

242341440 is an abundant number, since it is smaller than the sum of its proper divisors (614853696).

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

242341440 is a wasteful number, since it uses less digits than its factorization.

242341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 242341440 is about 15567.3196151425. The cubic root of 242341440 is about 623.4609084935.

Adding to 242341440 its reverse (44143242), we get a palindrome (286484682).

The spelling of 242341440 in words is "two hundred forty-two million, three hundred forty-one thousand, four hundred forty".