282990240 has 192 divisors, whose sum is σ = 1066867200. Its totient is φ = 69645312.

The previous prime is 282990233. The next prime is 282990259. The reversal of 282990240 is 42099282.

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

It is a junction number, because it is equal to n+sod(n) for n = 282990195 and 282990204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53641 + ... + 58679.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2^282990240 is an apocalyptic number.

282990240 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 282990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533433600).

282990240 is an abundant number, since it is smaller than the sum of its proper divisors (783876960).

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

282990240 is a wasteful number, since it uses less digits than its factorization.

282990240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 282990240 is about 16822.3137528700. The cubic root of 282990240 is about 656.5338951278.

The spelling of 282990240 in words is "two hundred eighty-two million, nine hundred ninety thousand, two hundred forty".