286483680 has 288 divisors, whose sum is σ = 1132657344. Its totient is φ = 64585728.

The previous prime is 286483661. The next prime is 286483697. The reversal of 286483680 is 86384682.

It is a happy number.

286483680 is a `hidden beast` number, since 286 + 4 + 8 + 368 + 0 = 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 (45).

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 47 ways as a sum of consecutive naturals, for example, 977614 + ... + 977906.

It is an arithmetic number, because the mean of its divisors is an integer number (3932838).

Almost surely, 2^286483680 is an apocalyptic number.

286483680 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 286483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566328672).

286483680 is an abundant number, since it is smaller than the sum of its proper divisors (846173664).

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

286483680 is a wasteful number, since it uses less digits than its factorization.

286483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 286483680 is about 16925.8287832531. The cubic root of 286483680 is about 659.2244333404.

The spelling of 286483680 in words is "two hundred eighty-six million, four hundred eighty-three thousand, six hundred eighty".