441664704 has 112 divisors (see below), whose sum is σ = 1398361440. Its totient is φ = 135889920.

The previous prime is 441664703. The next prime is 441664711. The reversal of 441664704 is 407466144.

441664704 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 647 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (441664703) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12634 + ... + 32294.

It is an arithmetic number, because the mean of its divisors is an integer number (12485370).

Almost surely, 2^441664704 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 441664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699180720).

441664704 is an abundant number, since it is smaller than the sum of its proper divisors (956696736).

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

441664704 is a wasteful number, since it uses less digits than its factorization.

441664704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19695 (or 19679 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 441664704 is about 21015.8203266016. The cubic root of 441664704 is about 761.5484956225.

The spelling of 441664704 in words is "four hundred forty-one million, six hundred sixty-four thousand, seven hundred four".