4053824 has 28 divisors (see below), whose sum is σ = 8139684. Its totient is φ = 2002944.

The previous prime is 4053799. The next prime is 4053851. The reversal of 4053824 is 4283504.

It can be written as a sum of positive squares in 2 ways, for example, as 1364224 + 2689600 = 1168^2 + 1640^2 .

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 4053793 and 4053802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5882 + ... + 6534.

It is an arithmetic number, because the mean of its divisors is an integer number (290703).

Almost surely, 2^4053824 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 4053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069842).

4053824 is an abundant number, since it is smaller than the sum of its proper divisors (4085860).

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

4053824 is an equidigital number, since it uses as much as digits as its factorization.

4053824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4053824 is about 2013.4110360282. The cubic root of 4053824 is about 159.4489375760.

The spelling of 4053824 in words is "four million, fifty-three thousand, eight hundred twenty-four".