505930880 has 384 divisors, whose sum is σ = 1626292080. Its totient is φ = 148635648.

The previous prime is 505930861. The next prime is 505930883. The reversal of 505930880 is 88039505.

It can be written as a sum of positive squares in 8 ways, for example, as 210366016 + 295564864 = 14504^2 + 17192^2 .

It is not an unprimeable number, because it can be changed into a prime (505930883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6930524 + ... + 6930596.

Almost surely, 2^505930880 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 505930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813146040).

505930880 is an abundant number, since it is smaller than the sum of its proper divisors (1120361200).

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

505930880 is a wasteful number, since it uses less digits than its factorization.

505930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 505930880 is about 22492.9073265330. The cubic root of 505930880 is about 796.8264271919.

The spelling of 505930880 in words is "five hundred five million, nine hundred thirty thousand, eight hundred eighty".