411224220 has 288 divisors, whose sum is σ = 1519015680. Its totient is φ = 88750080.

The previous prime is 411224161. The next prime is 411224221. The reversal of 411224220 is 22422114.

It is a super-2 number, since 2×411224220² = 338210718229216800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 411224193 and 411224202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411224221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 639219 + ... + 639861.

It is an arithmetic number, because the mean of its divisors is an integer number (5274360).

Almost surely, 2^411224220 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 411224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759507840).

411224220 is an abundant number, since it is smaller than the sum of its proper divisors (1107791460).

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

411224220 is a wasteful number, since it uses less digits than its factorization.

411224220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 411224220 is about 20278.6641571875. The cubic root of 411224220 is about 743.6345543102.

Adding to 411224220 its reverse (22422114), we get a palindrome (433646334).

The spelling of 411224220 in words is "four hundred eleven million, two hundred twenty-four thousand, two hundred twenty".