242592 has 72 divisors (see below), whose sum is σ = 768096. Its totient is φ = 65664.

The previous prime is 242591. The next prime is 242603. The reversal of 242592 is 295242.

242592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242592.

It is not an unprimeable number, because it can be changed into a prime (242591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12759 + ... + 12777.

It is an arithmetic number, because the mean of its divisors is an integer number (10668).

242592 is a Friedman number, since it can be written as 42*(9^2-5)^2, using all its digits and the basic arithmetic operations.

2²⁴²⁵⁹² 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 242592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384048).

242592 is an abundant number, since it is smaller than the sum of its proper divisors (525504).

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

242592 is a wasteful number, since it uses less digits than its factorization.

242592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 31 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 242592 is about 492.5362930790. The cubic root of 242592 is about 62.3675702627.

Subtracting 242592 from its reverse (295242), we obtain a triangular number (52650 = T₃₂₄).

It can be divided in two parts, 2 and 42592, that multiplied together give a cube (85184 = 44³).

The spelling of 242592 in words is "two hundred forty-two thousand, five hundred ninety-two".