411444 has 36 divisors (see below), whose sum is σ = 1135680. Its totient is φ = 124560.

The previous prime is 411443. The next prime is 411449. The reversal of 411444 is 444114.

It is a tau number, because it is divible by the number of its divisors (36).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (411443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124 + ... + 915.

2⁴¹¹⁴⁴⁴ is an apocalyptic number.

411444 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 411444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567840).

411444 is an abundant number, since it is smaller than the sum of its proper divisors (724236).

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

411444 is a wasteful number, since it uses less digits than its factorization.

411444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1055 counting only the distinct ones).

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

The square root of 411444 is about 641.4390072330. The cubic root of 411444 is about 74.3767009945.

Adding to 411444 its reverse (444114), we get a palindrome (855558).

It can be divided in two parts, 41 and 1444, that added together give a triangular number (1485 = T₅₄).

The spelling of 411444 in words is "four hundred eleven thousand, four hundred forty-four", and thus it is an iban number.