242280 has 48 divisors (see below), whose sum is σ = 788580. Its totient is φ = 64512.

The previous prime is 242279. The next prime is 242309. The reversal of 242280 is 82242.

242280 is digitally balanced in base 2, 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 2 ways, for example, as 236196 + 6084 = 486^2 + 78^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24 + ... + 696.

2²⁴²²⁸⁰ is an apocalyptic number.

242280 is a gapful number since it is divisible by the number (20) 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 242280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394290).

242280 is an abundant number, since it is smaller than the sum of its proper divisors (546300).

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

242280 is a wasteful number, since it uses less digits than its factorization.

242280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 242280 is about 492.2194632478. The cubic root of 242280 is about 62.3408216067.

It can be divided in two parts, 24 and 2280, that added together give a square (2304 = 48²).

The spelling of 242280 in words is "two hundred forty-two thousand, two hundred eighty".