242985744 has 75 divisors (see below), whose sum is σ = 704899173. Its totient is φ = 80808192.

The previous prime is 242985739. The next prime is 242985749. The reversal of 242985744 is 447589242.

The square root of 242985744 is 15588.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (242985739) and next prime (242985749).

It can be written as a sum of positive squares in only one way, i.e., 27248400 + 215737344 = 5220^2 + 14688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242985744.

It is not an unprimeable number, because it can be changed into a prime (242985749) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 560952 + ... + 561384.

Almost surely, 2^242985744 is an apocalyptic number.

242985744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

242985744 is the 15588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242985744

242985744 is an abundant number, since it is smaller than the sum of its proper divisors (461913429).

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

242985744 is an frugal number, since it uses more digits than its factorization.

242985744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 438 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The cubic root of 242985744 is about 624.0129435185.

The spelling of 242985744 in words is "two hundred forty-two million, nine hundred eighty-five thousand, seven hundred forty-four".