286782480 has 240 divisors, whose sum is σ = 1008596160. Its totient is φ = 72963072.

The previous prime is 286782473. The next prime is 286782487. The reversal of 286782480 is 84287682.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (286782473) and next prime (286782487).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286782487) 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, 1826562 + ... + 1826718.

It is an arithmetic number, because the mean of its divisors is an integer number (4202484).

Almost surely, 2^286782480 is an apocalyptic number.

286782480 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 286782480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504298080).

286782480 is an abundant number, since it is smaller than the sum of its proper divisors (721813680).

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

286782480 is a wasteful number, since it uses less digits than its factorization.

286782480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 286782480 is about 16934.6532293992. The cubic root of 286782480 is about 659.4535421665.

The spelling of 286782480 in words is "two hundred eighty-six million, seven hundred eighty-two thousand, four hundred eighty".