441320960 has 160 divisors (see below), whose sum is σ = 1121928192. Its totient is φ = 166256640.

The previous prime is 441320947. The next prime is 441320981. The reversal of 441320960 is 69023144.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5317079 + ... + 5317161.

Almost surely, 2^441320960 is an apocalyptic number.

441320960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560964096).

441320960 is an abundant number, since it is smaller than the sum of its proper divisors (680607232).

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

441320960 is an equidigital number, since it uses as much as digits as its factorization.

441320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 441320960 is about 21007.6405148222. The cubic root of 441320960 is about 761.3508753718.

The spelling of 441320960 in words is "four hundred forty-one million, three hundred twenty thousand, nine hundred sixty".