4406100 has 72 divisors (see below), whose sum is σ = 13436640. Its totient is φ = 1111680.

The previous prime is 4406099. The next prime is 4406141. The reversal of 4406100 is 16044.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4406100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5314 + ... + 6086.

It is an arithmetic number, because the mean of its divisors is an integer number (186620).

Almost surely, 2^4406100 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 4406100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718320).

4406100 is an abundant number, since it is smaller than the sum of its proper divisors (9030540).

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

4406100 is a wasteful number, since it uses less digits than its factorization.

4406100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4406100 is about 2099.0712231842. The cubic root of 4406100 is about 163.9399443006.

The spelling of 4406100 in words is "four million, four hundred six thousand, one hundred".