4024224 has 72 divisors (see below), whose sum is σ = 11646180. Its totient is φ = 1317888.

The previous prime is 4024211. The next prime is 4024259. The reversal of 4024224 is 4224204.

It can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 291600 = 1932^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4024197 and 4024206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25554 + ... + 25710.

Almost surely, 2^4024224 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 4024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823090).

4024224 is an abundant number, since it is smaller than the sum of its proper divisors (7621956).

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

4024224 is a wasteful number, since it uses less digits than its factorization.

4024224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4024224 is about 2006.0468588744. The cubic root of 4024224 is about 159.0599038551.

Adding to 4024224 its reverse (4224204), we get a palindrome (8248428).

The spelling of 4024224 in words is "four million, twenty-four thousand, two hundred twenty-four".