411020220 has 192 divisors, whose sum is σ = 1327656960. Its totient is φ = 94113792.

The previous prime is 411020171. The next prime is 411020231. The reversal of 411020220 is 22020114.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 411020196 and 411020205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1843029 + ... + 1843251.

It is an arithmetic number, because the mean of its divisors is an integer number (6914880).

Almost surely, 2^411020220 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 411020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663828480).

411020220 is an abundant number, since it is smaller than the sum of its proper divisors (916636740).

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

411020220 is a wasteful number, since it uses less digits than its factorization.

411020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 411020220 is about 20273.6336161035. The cubic root of 411020220 is about 743.5115666278.

Adding to 411020220 its reverse (22020114), we get a palindrome (433040334).

The spelling of 411020220 in words is "four hundred eleven million, twenty thousand, two hundred twenty".