411312220 has 96 divisors (see below), whose sum is σ = 1017515520. Its totient is φ = 138082560.

The previous prime is 411312179. The next prime is 411312257. The reversal of 411312220 is 22213114.

It is a junction number, because it is equal to n+sod(n) for n = 411312194 and 411312203.

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, 145339 + ... + 148141.

It is an arithmetic number, because the mean of its divisors is an integer number (10599120).

Almost surely, 2^411312220 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 411312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508757760).

411312220 is an abundant number, since it is smaller than the sum of its proper divisors (606203300).

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

411312220 is a wasteful number, since it uses less digits than its factorization.

411312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 411312220 is about 20280.8338092890. The cubic root of 411312220 is about 743.6875952631.

Adding to 411312220 its reverse (22213114), we get a palindrome (433525334).

The spelling of 411312220 in words is "four hundred eleven million, three hundred twelve thousand, two hundred twenty".