505548960 has 192 divisors, whose sum is σ = 1916006400. Its totient is φ = 109458432.

The previous prime is 505548937. The next prime is 505548971. The reversal of 505548960 is 69845505.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59881 + ... + 67799.

It is an arithmetic number, because the mean of its divisors is an integer number (9979200).

Almost surely, 2^505548960 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 505548960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958003200).

505548960 is an abundant number, since it is smaller than the sum of its proper divisors (1410457440).

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

505548960 is a wasteful number, since it uses less digits than its factorization.

505548960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7963 (or 7955 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 505548960 is about 22484.4159363769. The cubic root of 505548960 is about 796.6258724192.

The spelling of 505548960 in words is "five hundred five million, five hundred forty-eight thousand, nine hundred sixty".