4084224 has 40 divisors (see below), whose sum is σ = 10884720. Its totient is φ = 1360896.

The previous prime is 4084217. The next prime is 4084229. The reversal of 4084224 is 4224804.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4084194 and 4084203.

It is not an unprimeable number, because it can be changed into a prime (4084229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 207 + ... + 2865.

It is an arithmetic number, because the mean of its divisors is an integer number (272118).

Almost surely, 2^4084224 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 4084224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442360).

4084224 is an abundant number, since it is smaller than the sum of its proper divisors (6800496).

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

4084224 is an equidigital number, since it uses as much as digits as its factorization.

4084224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4084224 is about 2020.9463129930. The cubic root of 4084224 is about 159.8465194871.

The spelling of 4084224 in words is "four million, eighty-four thousand, two hundred twenty-four".