282240 has 144 divisors (see below), whose sum is σ = 1133730. Its totient is φ = 64512.

The previous prime is 282239. The next prime is 282241. The reversal of 282240 is 42282.

It is an interprime number because it is at equal distance from previous prime (282239) and next prime (282241).

It can be written as a sum of positive squares in only one way, i.e., 254016 + 28224 = 504^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (282241) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40317 + ... + 40323.

282240 is a Friedman number, since it can be written as 84^2*20*2, using all its digits and the basic arithmetic operations.

2²⁸²²⁴⁰ is an apocalyptic number.

282240 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 282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566865).

282240 is an abundant number, since it is smaller than the sum of its proper divisors (851490).

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

282240 is a wasteful number, since it uses less digits than its factorization.

282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 17 counting only the distinct ones).

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

The square root of 282240 is about 531.2626469083. The cubic root of 282240 is about 65.5953199120.

The spelling of 282240 in words is "two hundred eighty-two thousand, two hundred forty".