286416 has 100 divisors (see below), whose sum is σ = 945252. Its totient is φ = 82944.

The previous prime is 286411. The next prime is 286421. The reversal of 286416 is 614682.

286416 = T₁₇₅ + T₁₇₆ + ... + T₁₉₁.

286416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (286411) and next prime (286421).

It can be written as a sum of positive squares in 2 ways, for example, as 129600 + 156816 = 360^2 + 396^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 286416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16840 + ... + 16856.

286416 is a Friedman number, since it can be written as 612*468, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 468 ⋅ 612 (with its own digits).

2²⁸⁶⁴¹⁶ is an apocalyptic number.

286416 is a gapful number since it is divisible by the number (26) 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 286416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472626).

286416 is an abundant number, since it is smaller than the sum of its proper divisors (658836).

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

286416 is a wasteful number, since it uses less digits than its factorization.

286416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 35 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 286416 is about 535.1784749035. The cubic root of 286416 is about 65.9172516685.

The spelling of 286416 in words is "two hundred eighty-six thousand, four hundred sixteen".