441853664 has 192 divisors, whose sum is σ = 1149603840. Its totient is φ = 162570240.

The previous prime is 441853663. The next prime is 441853691. The reversal of 441853664 is 466358144.

441853664 = 11² + 12² + ... + 1098².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441853663) 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 31 ways as a sum of consecutive naturals, for example, 2242814 + ... + 2243010.

It is an arithmetic number, because the mean of its divisors is an integer number (5987520).

Almost surely, 2^441853664 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 441853664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574801920).

441853664 is an abundant number, since it is smaller than the sum of its proper divisors (707750176).

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

441853664 is a wasteful number, since it uses less digits than its factorization.

441853664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

The square root of 441853664 is about 21020.3155066712. The cubic root of 441853664 is about 761.6570860571.

The spelling of 441853664 in words is "four hundred forty-one million, eight hundred fifty-three thousand, six hundred sixty-four".