411142824 has 256 divisors, whose sum is σ = 1306368000. Its totient is φ = 119024640.

The previous prime is 411142813. The next prime is 411142829. The reversal of 411142824 is 428241114.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (411142829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4953487 + ... + 4953569.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000).

Almost surely, 2^411142824 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 411142824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184000).

411142824 is an abundant number, since it is smaller than the sum of its proper divisors (895225176).

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

411142824 is a wasteful number, since it uses less digits than its factorization.

411142824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 411142824 is about 20276.6571209359. The cubic root of 411142824 is about 743.5854871028.

Adding to 411142824 its reverse (428241114), we get a palindrome (839383938).

The spelling of 411142824 in words is "four hundred eleven million, one hundred forty-two thousand, eight hundred twenty-four".