286304 has 24 divisors (see below), whose sum is σ = 589680. Its totient is φ = 136576.

The previous prime is 286301. The next prime is 286333. The reversal of 286304 is 403682.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 286304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 542 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2²⁸⁶³⁰⁴ 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 286304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840).

286304 is an abundant number, since it is smaller than the sum of its proper divisors (303376).

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

286304 is a wasteful number, since it uses less digits than its factorization.

286304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 286304 is about 535.0738266819. The cubic root of 286304 is about 65.9086584629.

Adding to 286304 its reverse (403682), we get a palindrome (689986).

The spelling of 286304 in words is "two hundred eighty-six thousand, three hundred four".