413604220050 has 486 divisors, whose sum is σ = 1332948255327. Its totient is φ = 91678608000.

The previous prime is 413604220031. The next prime is 413604220067. The reversal of 413604220050 is 50022406314.

413604220050 is a `hidden beast` number, since 4 + 1 + 3 + 604 + 2 + 2 + 0 + 0 + 50 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 642470409 + 412961749641 = 25347^2 + 642621^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=454755.

It is a junction number, because it is equal to n+sod(n) for n = 413604219996 and 413604220023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 5825411515 + ... + 5825411585.

Almost surely, 2^413604220050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413604220050

413604220050 is an abundant number, since it is smaller than the sum of its proper divisors (919344035277).

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

413604220050 is a wasteful number, since it uses less digits than its factorization.

413604220050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 413604220050 its reverse (50022406314), we get a palindrome (463626626364).

The spelling of 413604220050 in words is "four hundred thirteen billion, six hundred four million, two hundred twenty thousand, fifty".