505559120 has 80 divisors (see below), whose sum is σ = 1317022848. Its totient is φ = 178859520.

The previous prime is 505559077. The next prime is 505559143. The reversal of 505559120 is 21955505.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24797 + ... + 40323.

Almost surely, 2^505559120 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 505559120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658511424).

505559120 is an abundant number, since it is smaller than the sum of its proper divisors (811463728).

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

505559120 is a wasteful number, since it uses less digits than its factorization.

505559120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15588 (or 15582 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 32.

The square root of 505559120 is about 22484.6418695073. The cubic root of 505559120 is about 796.6312089710.

The spelling of 505559120 in words is "five hundred five million, five hundred fifty-nine thousand, one hundred twenty".