411144 has 32 divisors (see below), whose sum is σ = 1057920. Its totient is φ = 133056.

The previous prime is 411143. The next prime is 411157. The reversal of 411144 is 441114.

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 (411143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 657 + ... + 1119.

It is an arithmetic number, because the mean of its divisors is an integer number (33060).

2⁴¹¹¹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528960).

411144 is an abundant number, since it is smaller than the sum of its proper divisors (646776).

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

411144 is a wasteful number, since it uses less digits than its factorization.

411144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 411144 is about 641.2051153882. The cubic root of 411144 is about 74.3586196066.

Adding to 411144 its reverse (441114), we get a palindrome (852258).

It can be divided in two parts, 411 and 144, that added together give a palindrome (555).

The spelling of 411144 in words is "four hundred eleven thousand, one hundred forty-four", and thus it is an iban number.