282642360 has 384 divisors, whose sum is σ = 1151055360. Its totient is φ = 53913600.

The previous prime is 282642337. The next prime is 282642361. The reversal of 282642360 is 63246282.

282642360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282642361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1561470 + ... + 1561650.

It is an arithmetic number, because the mean of its divisors is an integer number (2997540).

Almost surely, 2^282642360 is an apocalyptic number.

282642360 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 282642360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575527680).

282642360 is an abundant number, since it is smaller than the sum of its proper divisors (868413000).

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

282642360 is a wasteful number, since it uses less digits than its factorization.

282642360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 282642360 is about 16811.9707351637. The cubic root of 282642360 is about 656.2647590331.

The spelling of 282642360 in words is "two hundred eighty-two million, six hundred forty-two thousand, three hundred sixty".