411473664 has 216 divisors, whose sum is σ = 1401300992. Its totient is φ = 113633280.

The previous prime is 411473659. The next prime is 411473677. The reversal of 411473664 is 466374114.

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

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 23 ways as a sum of consecutive naturals, for example, 499557 + ... + 500379.

Almost surely, 2^411473664 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 411473664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700650496).

411473664 is an abundant number, since it is smaller than the sum of its proper divisors (989827328).

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

411473664 is a wasteful number, since it uses less digits than its factorization.

411473664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 866 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 411473664 is about 20284.8136299055. The cubic root of 411473664 is about 743.7848840451.

The spelling of 411473664 in words is "four hundred eleven million, four hundred seventy-three thousand, six hundred sixty-four".