441893664 has 192 divisors, whose sum is σ = 1383540480. Its totient is φ = 136857600.

The previous prime is 441893663. The next prime is 441893693. The reversal of 441893664 is 466398144.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (441893663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734964 + ... + 735564.

It is an arithmetic number, because the mean of its divisors is an integer number (7205940).

Almost surely, 2^441893664 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 441893664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691770240).

441893664 is an abundant number, since it is smaller than the sum of its proper divisors (941646816).

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

441893664 is a wasteful number, since it uses less digits than its factorization.

441893664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 666 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 441893664 is about 21021.2669456434. The cubic root of 441893664 is about 761.6800690540.

The spelling of 441893664 in words is "four hundred forty-one million, eight hundred ninety-three thousand, six hundred sixty-four".