4414100 has 36 divisors (see below), whose sum is σ = 9845724. Its totient is φ = 1716480.

The previous prime is 4414097. The next prime is 4414127. The reversal of 4414100 is 14144.

It can be written as a sum of positive squares in 6 ways, for example, as 37636 + 4376464 = 194^2 + 2092^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3104 + ... + 4296.

Almost surely, 2^4414100 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 4414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922862).

4414100 is an abundant number, since it is smaller than the sum of its proper divisors (5431624).

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

4414100 is a wasteful number, since it uses less digits than its factorization.

4414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4414100 is about 2100.9759636893. The cubic root of 4414100 is about 164.0391042980.

Adding to 4414100 its reverse (14144), we get a palindrome (4428244).

The spelling of 4414100 in words is "four million, four hundred fourteen thousand, one hundred".