4481856 has 84 divisors (see below), whose sum is σ = 13313664. Its totient is φ = 1440000.

The previous prime is 4481843. The next prime is 4481857. The reversal of 4481856 is 6581844.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4481856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4481857) 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 11 ways as a sum of consecutive naturals, for example, 17731 + ... + 17981.

It is an arithmetic number, because the mean of its divisors is an integer number (158496).

Almost surely, 2^4481856 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 4481856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832).

4481856 is an abundant number, since it is smaller than the sum of its proper divisors (8831808).

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

4481856 is a wasteful number, since it uses less digits than its factorization.

4481856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 4481856 is about 2117.0394422400. The cubic root of 4481856 is about 164.8741740443.

It can be divided in two parts, 448 and 1856, that added together give a square (2304 = 48²).

The spelling of 4481856 in words is "four million, four hundred eighty-one thousand, eight hundred fifty-six".