242438592 has 112 divisors (see below), whose sum is σ = 704600064. Its totient is φ = 72960000.

The previous prime is 242438551. The next prime is 242438593. The reversal of 242438592 is 295834242.

It is a self number, because there is not a number n which added to its sum of digits gives 242438592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242438593) 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 15 ways as a sum of consecutive naturals, for example, 403092 + ... + 403692.

It is an arithmetic number, because the mean of its divisors is an integer number (6291072).

Almost surely, 2^242438592 is an apocalyptic number.

242438592 is a gapful number since it is divisible by the number (22) 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 242438592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352300032).

242438592 is an abundant number, since it is smaller than the sum of its proper divisors (462161472).

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

242438592 is a wasteful number, since it uses less digits than its factorization.

242438592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 808 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 242438592 is about 15570.4396855066. The cubic root of 242438592 is about 623.5442102212.

It can be divided in two parts, 242 and 438592, that added together give a palindrome (438834).

The spelling of 242438592 in words is "two hundred forty-two million, four hundred thirty-eight thousand, five hundred ninety-two".