441664900 has 72 divisors (see below), whose sum is σ = 984312000. Its totient is φ = 171949440.

The previous prime is 441664897. The next prime is 441664901. The reversal of 441664900 is 9466144.

It is not an unprimeable number, because it can be changed into a prime (441664901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 884851 + ... + 885349.

It is an arithmetic number, because the mean of its divisors is an integer number (13671000).

Almost surely, 2^441664900 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 441664900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492156000).

441664900 is an abundant number, since it is smaller than the sum of its proper divisors (542647100).

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

441664900 is a wasteful number, since it uses less digits than its factorization.

441664900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 441664900 is about 21015.8249897547. The cubic root of 441664900 is about 761.5486082747.

The spelling of 441664900 in words is "four hundred forty-one million, six hundred sixty-four thousand, nine hundred".