505883680 has 24 divisors (see below), whose sum is σ = 1195150572. Its totient is φ = 202353408.

The previous prime is 505883657. The next prime is 505883681. The reversal of 505883680 is 86388505.

It can be written as a sum of positive squares in 2 ways, for example, as 495151504 + 10732176 = 22252^2 + 3276^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (505883681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1580727 + ... + 1581046.

Almost surely, 2^505883680 is an apocalyptic number.

It is an amenable number.

505883680 is an abundant number, since it is smaller than the sum of its proper divisors (689266892).

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

505883680 is a wasteful number, since it uses less digits than its factorization.

505883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161788 (or 3161780 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 505883680 is about 22491.8580824262. The cubic root of 505883680 is about 796.8016468786.

The spelling of 505883680 in words is "five hundred five million, eight hundred eighty-three thousand, six hundred eighty".