283959840 has 288 divisors, whose sum is σ = 1002637440. Its totient is φ = 67403776.

The previous prime is 283959811. The next prime is 283959881. The reversal of 283959840 is 48959382.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 283959840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3190516 + ... + 3190604.

It is an arithmetic number, because the mean of its divisors is an integer number (3481380).

Almost surely, 2^283959840 is an apocalyptic number.

283959840 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 283959840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501318720).

283959840 is an abundant number, since it is smaller than the sum of its proper divisors (718677600).

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

283959840 is a wasteful number, since it uses less digits than its factorization.

283959840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 283959840 is about 16851.1079754419. The cubic root of 283959840 is about 657.2828604395.

The spelling of 283959840 in words is "two hundred eighty-three million, nine hundred fifty-nine thousand, eight hundred forty".