4809 has 8 divisors (see below), whose sum is σ = 7360. Its totient is φ = 2736.

The previous prime is 4801. The next prime is 4813. The reversal of 4809 is 9084.

4809 = 7² + 8² + ... + 24².

4809 is nontrivially palindromic in base 8.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4809 - 2³ = 4801 is a prime.

It is a super-3 number, since 3×4809³ = 333645741387, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 229 = 4809 / (4 + 8 + 0 + 9).

It is a Duffinian number.

It is a Curzon number.

4809 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (4801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94 + ... + 135.

It is an arithmetic number, because the mean of its divisors is an integer number (920).

2⁴⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

4809 is a deficient number, since it is larger than the sum of its proper divisors (2551).

4809 is a wasteful number, since it uses less digits than its factorization.

4809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 4809 is about 69.3469537903. The cubic root of 4809 is about 16.8791896319.

The spelling of 4809 in words is "four thousand, eight hundred nine".