242975744 has 132 divisors (see below), whose sum is σ = 558659052. Its totient is φ = 105431040.

The previous prime is 242975741. The next prime is 242975779. The reversal of 242975744 is 447579242.

It can be written as a sum of positive squares in 2 ways, for example, as 198246400 + 44729344 = 14080^2 + 6688^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 242975695 and 242975704.

It is not an unprimeable number, because it can be changed into a prime (242975741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4584422 + ... + 4584474.

Almost surely, 2^242975744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242975744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279329526).

242975744 is an abundant number, since it is smaller than the sum of its proper divisors (315683308).

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

242975744 is a wasteful number, since it uses less digits than its factorization.

242975744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 103 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The square root of 242975744 is about 15587.6792371411. The cubic root of 242975744 is about 624.0043830505.

The spelling of 242975744 in words is "two hundred forty-two million, nine hundred seventy-five thousand, seven hundred forty-four".