441956608 has 36 divisors (see below), whose sum is σ = 890973468. Its totient is φ = 218777600.

The previous prime is 441956563. The next prime is 441956617. The reversal of 441956608 is 806659144.

It can be written as a sum of positive squares in 2 ways, for example, as 352237824 + 89718784 = 18768^2 + 9472^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 17310 + ... + 34402.

It is an arithmetic number, because the mean of its divisors is an integer number (24749263).

Almost surely, 2^441956608 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 441956608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445486734).

441956608 is an abundant number, since it is smaller than the sum of its proper divisors (449016860).

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

441956608 is a wasteful number, since it uses less digits than its factorization.

441956608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17210 (or 17196 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 441956608 is about 21022.7640428180. The cubic root of 441956608 is about 761.7162322896.

The spelling of 441956608 in words is "four hundred forty-one million, nine hundred fifty-six thousand, six hundred eight".