242788 has 48 divisors (see below), whose sum is σ = 564480. Its totient is φ = 88704.

The previous prime is 242779. The next prime is 242789. The reversal of 242788 is 887242.

242788 is nontrivially palindromic in base 3.

242788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8358 + ... + 8386.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2²⁴²⁷⁸⁸ is an apocalyptic number.

242788 is a gapful number since it is divisible by the number (28) 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 242788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

242788 is an abundant number, since it is smaller than the sum of its proper divisors (321692).

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

242788 is a wasteful number, since it uses less digits than its factorization.

242788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 74 counting only the distinct ones).

The product of its digits is 7168, while the sum is 31.

The square root of 242788 is about 492.7352230154. The cubic root of 242788 is about 62.3843621783.

The spelling of 242788 in words is "two hundred forty-two thousand, seven hundred eighty-eight".