282645360 has 120 divisors (see below), whose sum is σ = 952401840. Its totient is φ = 75119616.

The previous prime is 282645353. The next prime is 282645361. The reversal of 282645360 is 63546282.

282645360 is a `hidden beast` number, since 2 + 8 + 2 + 645 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282645361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328611 + ... + 329469.

It is an arithmetic number, because the mean of its divisors is an integer number (7936682).

Almost surely, 2^282645360 is an apocalyptic number.

282645360 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 282645360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476200920).

282645360 is an abundant number, since it is smaller than the sum of its proper divisors (669756480).

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

282645360 is a wasteful number, since it uses less digits than its factorization.

282645360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 282645360 is about 16812.0599570665. The cubic root of 282645360 is about 656.2670809160.

The spelling of 282645360 in words is "two hundred eighty-two million, six hundred forty-five thousand, three hundred sixty".