411216 has 40 divisors (see below), whose sum is σ = 1145760. Its totient is φ = 126336.

The previous prime is 411211. The next prime is 411233. The reversal of 411216 is 612114.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 411195 and 411204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2⁴¹¹²¹⁶ 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 411216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572880).

411216 is an abundant number, since it is smaller than the sum of its proper divisors (734544).

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

411216 is a wasteful number, since it uses less digits than its factorization.

411216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 677 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 411216 is about 641.2612572111. The cubic root of 411216 is about 74.3629599417.

The spelling of 411216 in words is "four hundred eleven thousand, two hundred sixteen".