411211020 has 192 divisors, whose sum is σ = 1328431104. Its totient is φ = 94068480.

The previous prime is 411211019. The next prime is 411211049. The reversal of 411211020 is 20112114.

It is a happy number.

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 = 411210987 and 411211005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1563409 + ... + 1563671.

It is an arithmetic number, because the mean of its divisors is an integer number (6918912).

Almost surely, 2^411211020 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 411211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664215552).

411211020 is an abundant number, since it is smaller than the sum of its proper divisors (917220084).

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

411211020 is a wasteful number, since it uses less digits than its factorization.

411211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 411211020 is about 20278.3386893503. The cubic root of 411211020 is about 743.6265975146.

Adding to 411211020 its reverse (20112114), we get a palindrome (431323134).

The spelling of 411211020 in words is "four hundred eleven million, two hundred eleven thousand, twenty".