286116480 has 192 divisors, whose sum is σ = 1064274120. Its totient is φ = 70410240.

The previous prime is 286116473. The next prime is 286116487. The reversal of 286116480 is 84611682.

286116480 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (286116473) and next prime (286116487).

It can be written as a sum of positive squares in 4 ways, for example, as 236667456 + 49449024 = 15384^2 + 7032^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 (286116487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72970 + ... + 76790.

Almost surely, 2^286116480 is an apocalyptic number.

286116480 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 286116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532137060).

286116480 is an abundant number, since it is smaller than the sum of its proper divisors (778157640).

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

286116480 is a wasteful number, since it uses less digits than its factorization.

286116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 286116480 is about 16914.9779781116. The cubic root of 286116480 is about 658.9426596297.

The spelling of 286116480 in words is "two hundred eighty-six million, one hundred sixteen thousand, four hundred eighty".