413584868500 has 96 divisors (see below), whose sum is σ = 915822835200. Its totient is φ = 163139932800.

The previous prime is 413584868479. The next prime is 413584868537. The reversal of 413584868500 is 5868485314.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34635531 + ... + 34647469.

It is an arithmetic number, because the mean of its divisors is an integer number (9539821200).

Almost surely, 2^413584868500 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 413584868500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457911417600).

413584868500 is an abundant number, since it is smaller than the sum of its proper divisors (502237966700).

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

413584868500 is a wasteful number, since it uses less digits than its factorization.

413584868500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12914 (or 12902 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 413584868500 in words is "four hundred thirteen billion, five hundred eighty-four million, eight hundred sixty-eight thousand, five hundred".