411965568 has 128 divisors (see below), whose sum is σ = 1389648000. Its totient is φ = 117697536.

The previous prime is 411965563. The next prime is 411965611. The reversal of 411965568 is 865569114.

411965568 is a `hidden beast` number, since 4 + 1 + 1 + 96 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (411965563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15678 + ... + 32706.

It is an arithmetic number, because the mean of its divisors is an integer number (10856625).

Almost surely, 2^411965568 is an apocalyptic number.

411965568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694824000).

411965568 is an abundant number, since it is smaller than the sum of its proper divisors (977682432).

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

411965568 is a wasteful number, since it uses less digits than its factorization.

411965568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17059 (or 17041 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 411965568 is about 20296.9349410200. The cubic root of 411965568 is about 744.0811565997.

It can be divided in two parts, 41196 and 5568, that added together give a palindrome (46764).

The spelling of 411965568 in words is "four hundred eleven million, nine hundred sixty-five thousand, five hundred sixty-eight".