242325468 has 288 divisors, whose sum is σ = 830269440. Its totient is φ = 57697920.

The previous prime is 242325443. The next prime is 242325521. The reversal of 242325468 is 864523242.

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

Its product of digits (92160) is a multiple of the sum of its prime divisors (192).

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 95 ways as a sum of consecutive naturals, for example, 2264671 + ... + 2264777.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2^242325468 is an apocalyptic number.

242325468 is a gapful number since it is divisible by the number (28) 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 242325468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415134720).

242325468 is an abundant number, since it is smaller than the sum of its proper divisors (587943972).

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

242325468 is a wasteful number, since it uses less digits than its factorization.

242325468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 192 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 242325468 is about 15566.8066089356. The cubic root of 242325468 is about 623.4472113775.

The spelling of 242325468 in words is "two hundred forty-two million, three hundred twenty-five thousand, four hundred sixty-eight".