4485824 has 112 divisors (see below), whose sum is σ = 11704320. Its totient is φ = 1658880.

The previous prime is 4485823. The next prime is 4485827. The reversal of 4485824 is 4285844.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4485823) 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, 144689 + ... + 144719.

Almost surely, 2^4485824 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 4485824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852160).

4485824 is an abundant number, since it is smaller than the sum of its proper divisors (7218496).

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

4485824 is a wasteful number, since it uses less digits than its factorization.

4485824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its digits is 40960, while the sum is 35.

The square root of 4485824 is about 2117.9763926919. The cubic root of 4485824 is about 164.9228166711.

The spelling of 4485824 in words is "four million, four hundred eighty-five thousand, eight hundred twenty-four".