4144736 has 48 divisors (see below), whose sum is σ = 9117360. Its totient is φ = 1843200.

The previous prime is 4144729. The next prime is 4144739. The reversal of 4144736 is 6374414.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4144699 and 4144708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10136 + ... + 10536.

It is an arithmetic number, because the mean of its divisors is an integer number (189945).

Almost surely, 2^4144736 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 4144736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558680).

4144736 is an abundant number, since it is smaller than the sum of its proper divisors (4972624).

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

4144736 is a wasteful number, since it uses less digits than its factorization.

4144736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 4144736 is about 2035.8624707971. The cubic root of 4144736 is about 160.6320829895.

The spelling of 4144736 in words is "four million, one hundred forty-four thousand, seven hundred thirty-six".