4689824 has 48 divisors (see below), whose sum is σ = 10083528. Its totient is φ = 2138112.

The previous prime is 4689809. The next prime is 4689829. The reversal of 4689824 is 4289864.

It can be written as a sum of positive squares in 4 ways, for example, as 4545424 + 144400 = 2132^2 + 380^2 .

It is not an unprimeable number, because it can be changed into a prime (4689829) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20012 + ... + 20244.

Almost surely, 2^4689824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4689824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041764).

4689824 is an abundant number, since it is smaller than the sum of its proper divisors (5393704).

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

4689824 is a wasteful number, since it uses less digits than its factorization.

4689824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 4689824 is about 2165.6001477650. The cubic root of 4689824 is about 167.3858909452.

The spelling of 4689824 in words is "four million, six hundred eighty-nine thousand, eight hundred twenty-four".