411521220 has 144 divisors (see below), whose sum is σ = 1368214848. Its totient is φ = 99290880.

The previous prime is 411521219. The next prime is 411521273. The reversal of 411521220 is 22125114.

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 = 411521193 and 411521202.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 607522 + ... + 608198.

It is an arithmetic number, because the mean of its divisors is an integer number (9501492).

Almost surely, 2^411521220 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 411521220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684107424).

411521220 is an abundant number, since it is smaller than the sum of its proper divisors (956693628).

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

411521220 is a wasteful number, since it uses less digits than its factorization.

411521220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 411521220 is about 20285.9858030119. The cubic root of 411521220 is about 743.8135372126.

Adding to 411521220 its reverse (22125114), we get a palindrome (433646334).

The spelling of 411521220 in words is "four hundred eleven million, five hundred twenty-one thousand, two hundred twenty".