411306 has 24 divisors (see below), whose sum is σ = 957600. Its totient is φ = 117432.

The previous prime is 411287. The next prime is 411311. The reversal of 411306 is 603114.

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 411306.

It is an unprimeable number.

411306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (39900).

2⁴¹¹³⁰⁶ is an apocalyptic number.

411306 is an abundant number, since it is smaller than the sum of its proper divisors (546294).

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

411306 is a wasteful number, since it uses less digits than its factorization.

411306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 411306 is about 641.3314275786. The cubic root of 411306 is about 74.3683846481.

It can be divided in two parts, 411 and 306, that added together give a palindrome (717).

The spelling of 411306 in words is "four hundred eleven thousand, three hundred six".