4463872 has 72 divisors (see below), whose sum is σ = 10596096. Its totient is φ = 1837056.

The previous prime is 4463857. The next prime is 4463887. The reversal of 4463872 is 2783644.

It is an interprime number because it is at equal distance from previous prime (4463857) and next prime (4463887).

It is a d-powerful number, because it can be written as 4⁹ + 4¹¹ + 6³ + 3⁸ + 8³ + 7 + 2⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84198 + ... + 84250.

It is an arithmetic number, because the mean of its divisors is an integer number (147168).

Almost surely, 2^4463872 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 4463872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298048).

4463872 is an abundant number, since it is smaller than the sum of its proper divisors (6132224).

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

4463872 is an equidigital number, since it uses as much as digits as its factorization.

4463872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 4463872 is about 2112.7877318841. The cubic root of 4463872 is about 164.6533524360.

It can be divided in two parts, 4463 and 872, that added together give a palindrome (5335).

The spelling of 4463872 in words is "four million, four hundred sixty-three thousand, eight hundred seventy-two".