441605904 has 80 divisors (see below), whose sum is σ = 1204684800. Its totient is φ = 139010688.

The previous prime is 441605903. The next prime is 441605917. The reversal of 441605904 is 409506144.

441605904 is a modest number, since divided by 5904 gives 4416 as remainder.

It is not an unprimeable number, because it can be changed into a prime (441605903) 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 15 ways as a sum of consecutive naturals, for example, 399817 + ... + 400919.

It is an arithmetic number, because the mean of its divisors is an integer number (15058560).

Almost surely, 2^441605904 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 441605904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602342400).

441605904 is an abundant number, since it is smaller than the sum of its proper divisors (763078896).

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

441605904 is a wasteful number, since it uses less digits than its factorization.

441605904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 441605904 is about 21014.4213339316. The cubic root of 441605904 is about 761.5146984619.

The spelling of 441605904 in words is "four hundred forty-one million, six hundred five thousand, nine hundred four".