411424 has 48 divisors (see below), whose sum is σ = 931392. Its totient is φ = 177408.

The previous prime is 411421. The next prime is 411443. The reversal of 411424 is 424114.

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is a junction number, because it is equal to n+sod(n) for n = 411398 and 411407.

It is not an unprimeable number, because it can be changed into a prime (411421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9547 + ... + 9589.

It is an arithmetic number, because the mean of its divisors is an integer number (19404).

2⁴¹¹⁴²⁴ 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 411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465696).

411424 is an abundant number, since it is smaller than the sum of its proper divisors (519968).

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

411424 is a wasteful number, since it uses less digits than its factorization.

411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 411424 is about 641.4234170967. The cubic root of 411424 is about 74.3754958421.

Adding to 411424 its reverse (424114), we get a palindrome (835538).

The spelling of 411424 in words is "four hundred eleven thousand, four hundred twenty-four", and thus it is an iban number.