441914768 has 40 divisors (see below), whose sum is σ = 903275520. Its totient is φ = 208863360.

The previous prime is 441914743. The next prime is 441914783. The reversal of 441914768 is 867419144.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 163121 + ... + 165807.

It is an arithmetic number, because the mean of its divisors is an integer number (22581888).

Almost surely, 2^441914768 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 441914768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451637760).

441914768 is an abundant number, since it is smaller than the sum of its proper divisors (461360752).

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

441914768 is a wasteful number, since it uses less digits than its factorization.

441914768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3249 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 441914768 is about 21021.7689074921. The cubic root of 441914768 is about 761.6921943242.

The spelling of 441914768 in words is "four hundred forty-one million, nine hundred fourteen thousand, seven hundred sixty-eight".