441305968 has 40 divisors (see below), whose sum is σ = 894549888. Its totient is φ = 210505152.

The previous prime is 441305959. The next prime is 441305971. The reversal of 441305968 is 869503144.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 441305968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161671 + ... + 164377.

Almost surely, 2^441305968 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 441305968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447274944).

441305968 is an abundant number, since it is smaller than the sum of its proper divisors (453243920).

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

441305968 is a wasteful number, since it uses less digits than its factorization.

441305968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 441305968 is about 21007.2836892350. The cubic root of 441305968 is about 761.3422540564.

The spelling of 441305968 in words is "four hundred forty-one million, three hundred five thousand, nine hundred sixty-eight".