286400 has 42 divisors (see below), whose sum is σ = 708660. Its totient is φ = 113920.

The previous prime is 286397. The next prime is 286411. The reversal of 286400 is 4682.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1511 + ... + 1689.

2²⁸⁶⁴⁰⁰ is an apocalyptic number.

286400 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 286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354330).

286400 is an abundant number, since it is smaller than the sum of its proper divisors (422260).

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

286400 is a wasteful number, since it uses less digits than its factorization.

286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 286400 is about 535.1635264104. The cubic root of 286400 is about 65.9160242049.

It can be divided in two parts, 286 and 400, that added together give a palindrome (686).

The spelling of 286400 in words is "two hundred eighty-six thousand, four hundred".