505585920 has 216 divisors, whose sum is σ = 1879041024. Its totient is φ = 115519488.

The previous prime is 505585919. The next prime is 505585943. The reversal of 505585920 is 29585505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186817 + ... + 189503.

It is an arithmetic number, because the mean of its divisors is an integer number (8699264).

Almost surely, 2^505585920 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 505585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939520512).

505585920 is an abundant number, since it is smaller than the sum of its proper divisors (1373455104).

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

505585920 is a wasteful number, since it uses less digits than its factorization.

505585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 39.

The square root of 505585920 is about 22485.2378239591. The cubic root of 505585920 is about 796.6452853591.

The spelling of 505585920 in words is "five hundred five million, five hundred eighty-five thousand, nine hundred twenty".