282506560 has 168 divisors, whose sum is σ = 802660320. Its totient is φ = 94381056.

The previous prime is 282506557. The next prime is 282506563. The reversal of 282506560 is 65605282.

282506560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (282506557) and next prime (282506563).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282506563) 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, 674031 + ... + 674449.

It is an arithmetic number, because the mean of its divisors is an integer number (4777740).

Almost surely, 2^282506560 is an apocalyptic number.

282506560 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 282506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401330160).

282506560 is an abundant number, since it is smaller than the sum of its proper divisors (520153760).

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

282506560 is a wasteful number, since it uses less digits than its factorization.

282506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 282506560 is about 16807.9314610692. The cubic root of 282506560 is about 656.1596379286.

The spelling of 282506560 in words is "two hundred eighty-two million, five hundred six thousand, five hundred sixty".