411560064 has 96 divisors (see below), whose sum is σ = 1246705200. Its totient is φ = 129959424.

The previous prime is 411560063. The next prime is 411560069. The reversal of 411560064 is 460065114.

411560064 is a `hidden beast` number, since 41 + 1 + 560 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (411560063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12487 + ... + 31289.

Almost surely, 2^411560064 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 411560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623352600).

411560064 is an abundant number, since it is smaller than the sum of its proper divisors (835145136).

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

411560064 is a wasteful number, since it uses less digits than its factorization.

411560064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18842 (or 18827 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 411560064 is about 20286.9431901408. The cubic root of 411560064 is about 743.8369396380.

The spelling of 411560064 in words is "four hundred eleven million, five hundred sixty thousand, sixty-four".