4281824 has 36 divisors (see below), whose sum is σ = 8974224. Its totient is φ = 2010624.

The previous prime is 4281803. The next prime is 4281833.

4281824 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9017 + ... + 9479.

It is an arithmetic number, because the mean of its divisors is an integer number (249284).

Almost surely, 2^4281824 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 4281824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487112).

4281824 is an abundant number, since it is smaller than the sum of its proper divisors (4692400).

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

4281824 is a wasteful number, since it uses less digits than its factorization.

4281824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 482 counting only the distinct ones).

The product of its digits is 4096, while the sum is 29.

The square root of 4281824 is about 2069.2568714396. The cubic root of 4281824 is about 162.3838886522.

The spelling of 4281824 in words is "four million, two hundred eighty-one thousand, eight hundred twenty-four".