286384896 has 180 divisors, whose sum is σ = 976435152. Its totient is φ = 81782784.

The previous prime is 286384871. The next prime is 286384927. The reversal of 286384896 is 698483682.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144166 + ... + 146138.

Almost surely, 2^286384896 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 286384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488217576).

286384896 is an abundant number, since it is smaller than the sum of its proper divisors (690050256).

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

286384896 is an equidigital number, since it uses as much as digits as its factorization.

286384896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1985 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 286384896 is about 16922.9103879918. The cubic root of 286384896 is about 659.1486543726.

The spelling of 286384896 in words is "two hundred eighty-six million, three hundred eighty-four thousand, eight hundred ninety-six".