411824 has 20 divisors (see below), whose sum is σ = 912144. Its totient is φ = 176448.

The previous prime is 411823. The next prime is 411833. The reversal of 411824 is 428114.

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

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 411796 and 411805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411821) 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 3 ways as a sum of consecutive naturals, for example, 1727 + ... + 1950.

2⁴¹¹⁸²⁴ is an apocalyptic number.

It is an amenable number.

411824 is an abundant number, since it is smaller than the sum of its proper divisors (500320).

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

411824 is a wasteful number, since it uses less digits than its factorization.

411824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3686 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 411824 is about 641.7351478609. The cubic root of 411824 is about 74.3995914727.

Adding to 411824 its reverse (428114), we get a palindrome (839938).

Subtracting 411824 from its reverse (428114), we obtain a triangular number (16290 = T₁₈₀).

The spelling of 411824 in words is "four hundred eleven thousand, eight hundred twenty-four".