4413312 has 64 divisors (see below), whose sum is σ = 13035600. Its totient is φ = 1469952.

The previous prime is 4413293. The next prime is 4413313. The reversal of 4413312 is 2133144.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4413313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2818 + ... + 4094.

Almost surely, 2^4413312 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 4413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517800).

4413312 is an abundant number, since it is smaller than the sum of its proper divisors (8622288).

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

4413312 is a wasteful number, since it uses less digits than its factorization.

4413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1282 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 4413312 is about 2100.7884234258. The cubic root of 4413312 is about 164.0293423604.

Adding to 4413312 its reverse (2133144), we get a palindrome (6546456).

The spelling of 4413312 in words is "four million, four hundred thirteen thousand, three hundred twelve".