413404000500 has 384 divisors, whose sum is σ = 1244081180160. Its totient is φ = 106641100800.

The previous prime is 413404000481. The next prime is 413404000507. The reversal of 413404000500 is 5000404314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413404000507) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2389618414 + ... + 2389618586.

It is an arithmetic number, because the mean of its divisors is an integer number (3239794740).

Almost surely, 2^413404000500 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 413404000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622040590080).

413404000500 is an abundant number, since it is smaller than the sum of its proper divisors (830677179660).

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

413404000500 is a wasteful number, since it uses less digits than its factorization.

413404000500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 413404000500 its reverse (5000404314), we get a palindrome (418404404814).

The spelling of 413404000500 in words is "four hundred thirteen billion, four hundred four million, five hundred", and thus it is an aban number.