411311424 has 56 divisors (see below), whose sum is σ = 1098487008. Its totient is φ = 135815680.

The previous prime is 411311423. The next prime is 411311443. The reversal of 411311424 is 424113114.

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

It is a self number, because there is not a number n which added to its sum of digits gives 411311424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411311423) 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, 10534 + ... + 30554.

Almost surely, 2^411311424 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 411311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549243504).

411311424 is an abundant number, since it is smaller than the sum of its proper divisors (687175584).

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

411311424 is a wasteful number, since it uses less digits than its factorization.

411311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20143 (or 20133 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 411311424 is about 20280.8141848398. The cubic root of 411311424 is about 743.6871155174.

Adding to 411311424 its reverse (424113114), we get a palindrome (835424538).

The spelling of 411311424 in words is "four hundred eleven million, three hundred eleven thousand, four hundred twenty-four".