286250000 has 80 divisors (see below), whose sum is σ = 696287280. Its totient is φ = 114000000.

The previous prime is 286249993. The next prime is 286250021. The reversal of 286250000 is 52682.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 270536704 + 15713296 = 16448^2 + 3964^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249886 + ... + 1250114.

It is an arithmetic number, because the mean of its divisors is an integer number (8703591).

Almost surely, 2^286250000 is an apocalyptic number.

286250000 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 286250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348143640).

286250000 is an abundant number, since it is smaller than the sum of its proper divisors (410037280).

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

286250000 is an frugal number, since it uses more digits than its factorization.

286250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 286250000 is about 16918.9243156886. The cubic root of 286250000 is about 659.0451450947.

The spelling of 286250000 in words is "two hundred eighty-six million, two hundred fifty thousand".