441120 has 48 divisors (see below), whose sum is σ = 1391040. Its totient is φ = 117504.

The previous prime is 441113. The next prime is 441121. The reversal of 441120 is 21144.

441120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 441096 and 441105.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 441120.

It is not an unprimeable number, because it can be changed into a prime (441121) by changing a digit.

441120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (28980).

2⁴⁴¹¹²⁰ is an apocalyptic number.

441120 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 441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695520).

441120 is an abundant number, since it is smaller than the sum of its proper divisors (949920).

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

441120 is a wasteful number, since it uses less digits than its factorization.

441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 441120 is about 664.1686532802. The cubic root of 441120 is about 76.1235294865.

Adding to 441120 its reverse (21144), we get a palindrome (462264).

It can be divided in two parts, 441 and 120, that added together give a triangular number (561 = T₃₃).

The spelling of 441120 in words is "four hundred forty-one thousand, one hundred twenty", and thus it is an iban number.