411020568 has 320 divisors, whose sum is σ = 1412505600. Its totient is φ = 109175040.

The previous prime is 411020563. The next prime is 411020569. The reversal of 411020568 is 865020114.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411020563) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5202753 + ... + 5202831.

It is an arithmetic number, because the mean of its divisors is an integer number (4414080).

Almost surely, 2^411020568 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 411020568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706252800).

411020568 is an abundant number, since it is smaller than the sum of its proper divisors (1001485032).

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

411020568 is a wasteful number, since it uses less digits than its factorization.

411020568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 411020568 is about 20273.6421986776. The cubic root of 411020568 is about 743.5117764649.

The spelling of 411020568 in words is "four hundred eleven million, twenty thousand, five hundred sixty-eight".