242496 has 42 divisors (see below), whose sum is σ = 696722. Its totient is φ = 80640.

The previous prime is 242491. The next prime is 242509. The reversal of 242496 is 694242.

242496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 112896 = 360^2 + 336^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242496.

It is not an unprimeable number, because it can be changed into a prime (242491) by changing a digit.

242496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 366 + ... + 786.

2²⁴²⁴⁹⁶ 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 242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348361).

242496 is an abundant number, since it is smaller than the sum of its proper divisors (454226).

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

242496 is a wasteful number, since it uses less digits than its factorization.

242496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 426 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 242496 is about 492.4388286884. The cubic root of 242496 is about 62.3593423509.

The spelling of 242496 in words is "two hundred forty-two thousand, four hundred ninety-six".