4484736 has 96 divisors (see below), whose sum is σ = 13724100. Its totient is φ = 1400832.

The previous prime is 4484731. The next prime is 4484737. The reversal of 4484736 is 6374844.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 705600 = 1944^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4484736² = 40225713979392, which contains 22 as substring.

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 4484736.

It is not an unprimeable number, because it can be changed into a prime (4484731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19470 + ... + 19698.

Almost surely, 2^4484736 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 4484736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862050).

4484736 is an abundant number, since it is smaller than the sum of its proper divisors (9239364).

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

4484736 is a wasteful number, since it uses less digits than its factorization.

4484736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 4484736 is about 2117.7195281718. The cubic root of 4484736 is about 164.9094820319.

It can be divided in two parts, 448 and 4736, that added together give a square (5184 = 72²).

The spelling of 4484736 in words is "four million, four hundred eighty-four thousand, seven hundred thirty-six".