411310020 has 96 divisors (see below), whose sum is σ = 1263265920. Its totient is φ = 99164160.

The previous prime is 411309971. The next prime is 411310027. The reversal of 411310020 is 20013114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 411309978 and 411310005.

It is not an unprimeable number, because it can be changed into a prime (411310027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125766 + ... + 128994.

It is an arithmetic number, because the mean of its divisors is an integer number (13159020).

Almost surely, 2^411310020 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 411310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631632960).

411310020 is an abundant number, since it is smaller than the sum of its proper divisors (851955900).

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

411310020 is a wasteful number, since it uses less digits than its factorization.

411310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 411310020 is about 20280.7795708153. The cubic root of 411310020 is about 743.6862693315.

Adding to 411310020 its reverse (20013114), we get a palindrome (431323134).

The spelling of 411310020 in words is "four hundred eleven million, three hundred ten thousand, twenty".