411431020 has 96 divisors (see below), whose sum is σ = 1160119296. Its totient is φ = 118368000.

The previous prime is 411431011. The next prime is 411431051. The reversal of 411431020 is 20134114.

It is a junction number, because it is equal to n+sod(n) for n = 411430985 and 411431003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9745 + ... + 30295.

It is an arithmetic number, because the mean of its divisors is an integer number (12084576).

Almost surely, 2^411431020 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 411431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580059648).

411431020 is an abundant number, since it is smaller than the sum of its proper divisors (748688276).

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

411431020 is a wasteful number, since it uses less digits than its factorization.

411431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20591 (or 20589 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 411431020 is about 20283.7624714943. The cubic root of 411431020 is about 743.7591885502.

Adding to 411431020 its reverse (20134114), we get a palindrome (431565134).

The spelling of 411431020 in words is "four hundred eleven million, four hundred thirty-one thousand, twenty".