411105216 has 56 divisors (see below), whose sum is σ = 1095725520. Its totient is φ = 136026112.

The previous prime is 411105209. The next prime is 411105217. The reversal of 411105216 is 612501114.

It is a junction number, because it is equal to n+sod(n) for n = 411105192 and 411105201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411105217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18490 + ... + 34118.

Almost surely, 2^411105216 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 411105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547862760).

411105216 is an abundant number, since it is smaller than the sum of its proper divisors (684620304).

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

411105216 is a wasteful number, since it uses less digits than its factorization.

411105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15781 (or 15771 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 411105216 is about 20275.7297279284. The cubic root of 411105216 is about 743.5628140283.

It can be divided in two parts, 411 and 105216, that multiplied together give a square (43243776 = 6576²).

The spelling of 411105216 in words is "four hundred eleven million, one hundred five thousand, two hundred sixteen".