441075936 has 144 divisors (see below), whose sum is σ = 1369291392. Its totient is φ = 121777920.

The previous prime is 441075919. The next prime is 441075959. The reversal of 441075936 is 639570144.

It is a junction number, because it is equal to n+sod(n) for n = 441075894 and 441075903.

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, 645451 + ... + 646133.

It is an arithmetic number, because the mean of its divisors is an integer number (9508968).

Almost surely, 2^441075936 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 441075936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684645696).

441075936 is an abundant number, since it is smaller than the sum of its proper divisors (928215456).

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

441075936 is a wasteful number, since it uses less digits than its factorization.

441075936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 441075936 is about 21001.8079221766. The cubic root of 441075936 is about 761.2099471217.

The spelling of 441075936 in words is "four hundred forty-one million, seventy-five thousand, nine hundred thirty-six".