4479744 has 72 divisors (see below), whose sum is σ = 12591040. Its totient is φ = 1410048.

The previous prime is 4479743. The next prime is 4479749.

4479744 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4479743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14439 + ... + 14745.

Almost surely, 2^4479744 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 4479744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6295520).

4479744 is an abundant number, since it is smaller than the sum of its proper divisors (8111296).

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

4479744 is a wasteful number, since it uses less digits than its factorization.

4479744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 4479744 is about 2116.5405736720. The cubic root of 4479744 is about 164.8482719056.

The spelling of 4479744 in words is "four million, four hundred seventy-nine thousand, seven hundred forty-four".