286248420 has 144 divisors (see below), whose sum is σ = 917908992. Its totient is φ = 72092160.

The previous prime is 286248383. The next prime is 286248421. The reversal of 286248420 is 24842682.

It is a happy number.

286248420 is a `hidden beast` number, since 2 + 8 + 624 + 8 + 4 + 20 = 666.

286248420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (286248421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239344 + ... + 240536.

It is an arithmetic number, because the mean of its divisors is an integer number (6374368).

Almost surely, 2^286248420 is an apocalyptic number.

286248420 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 286248420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458954496).

286248420 is an abundant number, since it is smaller than the sum of its proper divisors (631660572).

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

286248420 is a wasteful number, since it uses less digits than its factorization.

286248420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 286248420 is about 16918.8776223484. The cubic root of 286248420 is about 659.0439325262.

The spelling of 286248420 in words is "two hundred eighty-six million, two hundred forty-eight thousand, four hundred twenty".