286404 has 24 divisors (see below), whose sum is σ = 692160. Its totient is φ = 92064.

The previous prime is 286397. The next prime is 286411. The reversal of 286404 is 404682.

It is an interprime number because it is at equal distance from previous prime (286397) and next prime (286411).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 286404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 759.

It is an arithmetic number, because the mean of its divisors is an integer number (28840).

2²⁸⁶⁴⁰⁴ 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 286404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346080).

286404 is an abundant number, since it is smaller than the sum of its proper divisors (405756).

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

286404 is a wasteful number, since it uses less digits than its factorization.

286404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 286404 is about 535.1672635728. The cubic root of 286404 is about 65.9163310751.

The spelling of 286404 in words is "two hundred eighty-six thousand, four hundred four".