283809960 has 384 divisors, whose sum is σ = 1142553600. Its totient is φ = 62415360.

The previous prime is 283809947. The next prime is 283809961. The reversal of 283809960 is 69908382.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (283809961) 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, 1640434 + ... + 1640606.

It is an arithmetic number, because the mean of its divisors is an integer number (2975400).

Almost surely, 2^283809960 is an apocalyptic number.

283809960 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 283809960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571276800).

283809960 is an abundant number, since it is smaller than the sum of its proper divisors (858743640).

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

283809960 is a wasteful number, since it uses less digits than its factorization.

283809960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 283809960 is about 16846.6602031382. The cubic root of 283809960 is about 657.1671974961.

The spelling of 283809960 in words is "two hundred eighty-three million, eight hundred nine thousand, nine hundred sixty".