505646449920 has 432 divisors, whose sum is σ = 1813774959360. Its totient is φ = 129904459776.

The previous prime is 505646449907. The next prime is 505646449921. The reversal of 505646449920 is 29944646505.

505646449920 is a `hidden beast` number, since 5 + 0 + 56 + 464 + 49 + 92 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505646449921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182740377 + ... + 182743143.

Almost surely, 2^505646449920 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 505646449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906887479680).

505646449920 is an abundant number, since it is smaller than the sum of its proper divisors (1308128509440).

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

505646449920 is a wasteful number, since it uses less digits than its factorization.

505646449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 505646449920 in words is "five hundred five billion, six hundred forty-six million, four hundred forty-nine thousand, nine hundred twenty".