242844576 has 96 divisors (see below), whose sum is σ = 708761088. Its totient is φ = 72299520.

The previous prime is 242844551. The next prime is 242844577. The reversal of 242844576 is 675448242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (242844577) 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, 35550 + ... + 41826.

It is an arithmetic number, because the mean of its divisors is an integer number (7382928).

Almost surely, 2^242844576 is an apocalyptic number.

242844576 is a gapful number since it is divisible by the number (26) 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 242844576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354380544).

242844576 is an abundant number, since it is smaller than the sum of its proper divisors (465916512).

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

242844576 is a wasteful number, since it uses less digits than its factorization.

242844576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6334 (or 6326 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The square root of 242844576 is about 15583.4712435965. The cubic root of 242844576 is about 623.8920753519.

The spelling of 242844576 in words is "two hundred forty-two million, eight hundred forty-four thousand, five hundred seventy-six".