411305112 has 96 divisors (see below), whose sum is σ = 1147517280. Its totient is φ = 133009920.

The previous prime is 411305087. The next prime is 411305119. The reversal of 411305112 is 211503114.

It is a super-4 number, since 4×411305112⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411305119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817453 + ... + 817955.

It is an arithmetic number, because the mean of its divisors is an integer number (11953305).

Almost surely, 2^411305112 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 411305112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573758640).

411305112 is an abundant number, since it is smaller than the sum of its proper divisors (736212168).

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

411305112 is a wasteful number, since it uses less digits than its factorization.

411305112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 411305112 is about 20280.6585691885. The cubic root of 411305112 is about 743.6833112815.

Adding to 411305112 its reverse (211503114), we get a palindrome (622808226).

The spelling of 411305112 in words is "four hundred eleven million, three hundred five thousand, one hundred twelve".