282045960 has 288 divisors, whose sum is σ = 1088380800. Its totient is φ = 63141120.

The previous prime is 282045949. The next prime is 282045961. The reversal of 282045960 is 69540282.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (282045961) 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 71 ways as a sum of consecutive naturals, for example, 1040625 + ... + 1040895.

It is an arithmetic number, because the mean of its divisors is an integer number (3779100).

Almost surely, 2^282045960 is an apocalyptic number.

282045960 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 282045960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544190400).

282045960 is an abundant number, since it is smaller than the sum of its proper divisors (806334840).

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

282045960 is a wasteful number, since it uses less digits than its factorization.

282045960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 282045960 is about 16794.2240070805. The cubic root of 282045960 is about 655.8028420498.

The spelling of 282045960 in words is "two hundred eighty-two million, forty-five thousand, nine hundred sixty".