4461824 has 36 divisors (see below), whose sum is σ = 9228660. Its totient is φ = 2150400.

The previous prime is 4461823. The next prime is 4461869. The reversal of 4461824 is 4281644.

It can be written as a sum of positive squares in 2 ways, for example, as 3097600 + 1364224 = 1760^2 + 1168^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4461823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7124 + ... + 7724.

Almost surely, 2^4461824 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 4461824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614330).

4461824 is an abundant number, since it is smaller than the sum of its proper divisors (4766836).

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

4461824 is an equidigital number, since it uses as much as digits as its factorization.

4461824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 4461824 is about 2112.3030085667. The cubic root of 4461824 is about 164.6281678990.

The spelling of 4461824 in words is "four million, four hundred sixty-one thousand, eight hundred twenty-four".