242391744 has 224 divisors, whose sum is σ = 843686400. Its totient is φ = 66769920.

The previous prime is 242391727. The next prime is 242391749. The reversal of 242391744 is 447193242.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242391699 and 242391708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242391749) 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 31 ways as a sum of consecutive naturals, for example, 350439 + ... + 351129.

Almost surely, 2^242391744 is an apocalyptic number.

242391744 is a gapful number since it is divisible by the number (24) 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 242391744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421843200).

242391744 is an abundant number, since it is smaller than the sum of its proper divisors (601294656).

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

242391744 is a wasteful number, since it uses less digits than its factorization.

242391744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 732 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 242391744 is about 15568.9352237075. The cubic root of 242391744 is about 623.5040437875.

The spelling of 242391744 in words is "two hundred forty-two million, three hundred ninety-one thousand, seven hundred forty-four".