4264224 has 48 divisors (see below), whose sum is σ = 11464992. Its totient is φ = 1387008.

The previous prime is 4264219. The next prime is 4264237. The reversal of 4264224 is 4224624.

It is a Cunningham number, because it is equal to 2065²-1.

It is a tau number, because it is divible by the number of its divisors (48).

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

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

It is a d-powerful number, because it can be written as 4 + 2¹² + 6³ + 4 + 2¹⁶ + 2²² + 4³ .

It is a junction number, because it is equal to n+sod(n) for n = 4264194 and 4264203.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3612 + ... + 4644.

It is an arithmetic number, because the mean of its divisors is an integer number (238854).

Almost surely, 2^4264224 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 4264224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732496).

4264224 is an abundant number, since it is smaller than the sum of its proper divisors (7200768).

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

4264224 is a wasteful number, since it uses less digits than its factorization.

4264224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1081 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 4264224 is about 2064.9997578692. Note that the first 3 decimals coincide. The cubic root of 4264224 is about 162.1610956566.

Adding to 4264224 its reverse (4224624), we get a palindrome (8488848).

It can be divided in two parts, 426422 and 4, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 4264224 in words is "four million, two hundred sixty-four thousand, two hundred twenty-four".