282044640 has 96 divisors (see below), whose sum is σ = 895134240. Its totient is φ = 74645504.

The previous prime is 282044597. The next prime is 282044657. The reversal of 282044640 is 46440282.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 282044598 and 282044607.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 63616 + ... + 67904.

It is an arithmetic number, because the mean of its divisors is an integer number (9324315).

Almost surely, 2^282044640 is an apocalyptic number.

282044640 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 282044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447567120).

282044640 is an abundant number, since it is smaller than the sum of its proper divisors (613089600).

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

282044640 is a wasteful number, since it uses less digits than its factorization.

282044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 282044640 is about 16794.1847078088. The cubic root of 282044640 is about 655.8018189765.

The spelling of 282044640 in words is "two hundred eighty-two million, forty-four thousand, six hundred forty".