286740480 has 208 divisors, whose sum is σ = 990783360. Its totient is φ = 70385664.

The previous prime is 286740463. The next prime is 286740481. The reversal of 286740480 is 84047682.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286740481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798541 + ... + 798899.

Almost surely, 2^286740480 is an apocalyptic number.

286740480 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 286740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495391680).

286740480 is an abundant number, since it is smaller than the sum of its proper divisors (704042880).

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

286740480 is a wasteful number, since it uses less digits than its factorization.

286740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 286740480 is about 16933.4131231716. The cubic root of 286740480 is about 659.4213477300.

The spelling of 286740480 in words is "two hundred eighty-six million, seven hundred forty thousand, four hundred eighty".