4859809000 has 64 divisors (see below), whose sum is σ = 11558523600. Its totient is φ = 1912032000.

The previous prime is 4859808997. The next prime is 4859809001. The reversal of 4859809000 is 9089584.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 59259204 + 4800549796 = 7698^2 + 69286^2 .

It is a super-3 number, since 3×4859809000³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4859809001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21166 + ... + 100834.

Almost surely, 2^4859809000 is an apocalyptic number.

4859809000 is a gapful number since it is divisible by the number (40) 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 4859809000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779261800).

4859809000 is an abundant number, since it is smaller than the sum of its proper divisors (6698714600).

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

4859809000 is a wasteful number, since it uses less digits than its factorization.

4859809000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79751 (or 79737 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 4859809000 is about 69712.3303297200. The cubic root of 4859809000 is about 1693.8426618332.

The spelling of 4859809000 in words is "four billion, eight hundred fifty-nine million, eight hundred nine thousand".