411290568 has 192 divisors, whose sum is σ = 1304424000. Its totient is φ = 119688192.

The previous prime is 411290563. The next prime is 411290591. The reversal of 411290568 is 865092114.

411290568 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 90 + 568 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (411290563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693280 + ... + 693872.

It is an arithmetic number, because the mean of its divisors is an integer number (6793875).

Almost surely, 2^411290568 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 411290568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652212000).

411290568 is an abundant number, since it is smaller than the sum of its proper divisors (893133432).

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

411290568 is a wasteful number, since it uses less digits than its factorization.

411290568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 411290568 is about 20280.2999977811. The cubic root of 411290568 is about 743.6745454795.

The spelling of 411290568 in words is "four hundred eleven million, two hundred ninety thousand, five hundred sixty-eight".