4100844 has 48 divisors (see below), whose sum is σ = 10676736. Its totient is φ = 1214400.

The previous prime is 4100819. The next prime is 4100849. The reversal of 4100844 is 4480014.

It is a self number, because there is not a number n which added to its sum of digits gives 4100844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100849) 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 15 ways as a sum of consecutive naturals, for example, 5874 + ... + 6534.

It is an arithmetic number, because the mean of its divisors is an integer number (222432).

Almost surely, 2^4100844 is an apocalyptic number.

4100844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338368).

4100844 is an abundant number, since it is smaller than the sum of its proper divisors (6575892).

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

4100844 is a wasteful number, since it uses less digits than its factorization.

4100844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4100844 is about 2025.0540733521. The cubic root of 4100844 is about 160.0630480693.

Adding to 4100844 its reverse (4480014), we get a palindrome (8580858).

The spelling of 4100844 in words is "four million, one hundred thousand, eight hundred forty-four".