441960 has 64 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 112896.

The previous prime is 441953. The next prime is 441971. The reversal of 441960 is 69144.

441960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 441960.

It is an unprimeable number.

441960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 3417 + ... + 3543.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2⁴⁴¹⁹⁶⁰ is an apocalyptic number.

441960 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 441960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

441960 is an abundant number, since it is smaller than the sum of its proper divisors (940440).

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

441960 is a wasteful number, since it uses less digits than its factorization.

441960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 441960 is about 664.8007220213. The cubic root of 441960 is about 76.1718180999.

Subtracting from 441960 its reverse (69144), we obtain a triangular number (372816 = T₈₆₃).

The spelling of 441960 in words is "four hundred forty-one thousand, nine hundred sixty".