411641664 has 112 divisors (see below), whose sum is σ = 1265383296. Its totient is φ = 115660800.

The previous prime is 411641647. The next prime is 411641717. The reversal of 411641664 is 466146114.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79474 + ... + 84494.

Almost surely, 2^411641664 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 411641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632691648).

411641664 is an abundant number, since it is smaller than the sum of its proper divisors (853741632).

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

411641664 is a wasteful number, since it uses less digits than its factorization.

411641664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104 (or 5094 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 411641664 is about 20288.9542362341. The cubic root of 411641664 is about 743.8860965643.

Adding to 411641664 its reverse (466146114), we get a palindrome (877787778).

The spelling of 411641664 in words is "four hundred eleven million, six hundred forty-one thousand, six hundred sixty-four".