411132216 has 128 divisors (see below), whose sum is σ = 1200303360. Its totient is φ = 115968000.

The previous prime is 411132191. The next prime is 411132221. The reversal of 411132216 is 612231114.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 411132192 and 411132201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452835 + ... + 453741.

It is an arithmetic number, because the mean of its divisors is an integer number (9377370).

Almost surely, 2^411132216 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 411132216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600151680).

411132216 is an abundant number, since it is smaller than the sum of its proper divisors (789171144).

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

411132216 is a wasteful number, since it uses less digits than its factorization.

411132216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1041 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 411132216 is about 20276.3955376689. The cubic root of 411132216 is about 743.5790919021.

The spelling of 411132216 in words is "four hundred eleven million, one hundred thirty-two thousand, two hundred sixteen".