286280 has 32 divisors (see below), whose sum is σ = 683640. Its totient is φ = 107520.

The previous prime is 286249. The next prime is 286289. The reversal of 286280 is 82682.

It can be written as a sum of positive squares in 4 ways, for example, as 174724 + 111556 = 418^2 + 334^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (286289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470 + ... + 890.

2²⁸⁶²⁸⁰ is an apocalyptic number.

286280 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 286280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341820).

286280 is an abundant number, since it is smaller than the sum of its proper divisors (397360).

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

286280 is a wasteful number, since it uses less digits than its factorization.

286280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 286280 is about 535.0513994001. The cubic root of 286280 is about 65.9068167702.

The spelling of 286280 in words is "two hundred eighty-six thousand, two hundred eighty".