505829080 has 32 divisors (see below), whose sum is σ = 1156778640. Its totient is φ = 199013760.

The previous prime is 505829057. The next prime is 505829089. The reversal of 505829080 is 80928505.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505829089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101214 + ... + 106093.

Almost surely, 2^505829080 is an apocalyptic number.

It is an amenable number.

505829080 is an abundant number, since it is smaller than the sum of its proper divisors (650949560).

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

505829080 is a wasteful number, since it uses less digits than its factorization.

505829080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207379 (or 207375 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 505829080 is about 22490.6442771211. The cubic root of 505829080 is about 796.7729795934.

The spelling of 505829080 in words is "five hundred five million, eight hundred twenty-nine thousand, eighty".