441144 has 48 divisors (see below), whose sum is σ = 1305720. Its totient is φ = 133440.

The previous prime is 441127. The next prime is 441157.

441144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

441144 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 11 ways as a sum of consecutive naturals, for example, 514 + ... + 1070.

2⁴⁴¹¹⁴⁴ is an apocalyptic number.

441144 is a gapful number since it is divisible by the number (44) 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 441144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652860).

441144 is an abundant number, since it is smaller than the sum of its proper divisors (864576).

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

441144 is a wasteful number, since it uses less digits than its factorization.

441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 573 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 441144 is about 664.1867207345. The cubic root of 441144 is about 76.1249100115.

It can be divided in two parts, 441 and 144, that multiplied together give a square (63504 = 252²).

The spelling of 441144 in words is "four hundred forty-one thousand, one hundred forty-four", and thus it is an iban number.