286468 has 24 divisors (see below), whose sum is σ = 617792. Its totient is φ = 113184.

The previous prime is 286459. The next prime is 286469. The reversal of 286468 is 864682.

It is a d-powerful number, because it can be written as 2¹⁸ + 8² + 4⁷ + 6² + 6⁵ + 8² .

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (286469) 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, 30 + ... + 757.

2²⁸⁶⁴⁶⁸ is an apocalyptic number.

286468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

286468 is an abundant number, since it is smaller than the sum of its proper divisors (331324).

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

286468 is a wasteful number, since it uses less digits than its factorization.

286468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 809 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 286468 is about 535.2270546226. The cubic root of 286468 is about 65.9212406096.

The spelling of 286468 in words is "two hundred eighty-six thousand, four hundred sixty-eight".