411220 has 24 divisors (see below), whose sum is σ = 894600. Its totient is φ = 158592.

The previous prime is 411211. The next prime is 411233. The reversal of 411220 is 22114.

411220 = 21² + 22² + ... + 107².

It can be written as a sum of positive squares in 4 ways, for example, as 6724 + 404496 = 82^2 + 636^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 411197 and 411206.

It is a congruent number.

It is an unprimeable number.

411220 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 7 ways as a sum of consecutive naturals, for example, 226 + ... + 934.

It is an arithmetic number, because the mean of its divisors is an integer number (37275).

2⁴¹¹²²⁰ 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 411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447300).

411220 is an abundant number, since it is smaller than the sum of its proper divisors (483380).

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

411220 is a wasteful number, since it uses less digits than its factorization.

411220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 411220 is about 641.2643760572. The cubic root of 411220 is about 74.3632010565.

Adding to 411220 its reverse (22114), we get a palindrome (433334).

The spelling of 411220 in words is "four hundred eleven thousand, two hundred twenty", and thus it is an iban number.