411314820 has 144 divisors (see below), whose sum is σ = 1383234048. Its totient is φ = 90961920.

The previous prime is 411314797. The next prime is 411314863. The reversal of 411314820 is 28413114.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88884 + ... + 93396.

It is an arithmetic number, because the mean of its divisors is an integer number (9605792).

Almost surely, 2^411314820 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 411314820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691617024).

411314820 is an abundant number, since it is smaller than the sum of its proper divisors (971919228).

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

411314820 is a wasteful number, since it uses less digits than its factorization.

411314820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 411314820 is about 20280.8979091164. The cubic root of 411314820 is about 743.6891622671.

Adding to 411314820 its reverse (28413114), we get a palindrome (439727934).

The spelling of 411314820 in words is "four hundred eleven million, three hundred fourteen thousand, eight hundred twenty".