286122240 has 288 divisors, whose sum is σ = 1077269760. Its totient is φ = 71663616.

The previous prime is 286122217. The next prime is 286122247. The reversal of 286122240 is 42221682.

It is a happy number.

286122240 is a `hidden beast` number, since 2 + 8 + 612 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (286122247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587277 + ... + 587763.

It is an arithmetic number, because the mean of its divisors is an integer number (3740520).

Almost surely, 2^286122240 is an apocalyptic number.

286122240 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 286122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538634880).

286122240 is an abundant number, since it is smaller than the sum of its proper divisors (791147520).

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

286122240 is a wasteful number, since it uses less digits than its factorization.

286122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 286122240 is about 16915.1482405565. The cubic root of 286122240 is about 658.9470814702.

The spelling of 286122240 in words is "two hundred eighty-six million, one hundred twenty-two thousand, two hundred forty".