505085160 has 64 divisors (see below), whose sum is σ = 1520985600. Its totient is φ = 134180096.

The previous prime is 505085159. The next prime is 505085173. The reversal of 505085160 is 61580505.

It is a happy number.

It is a super-2 number, since 2×505085160² = 510222037704451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24457 + ... + 40103.

It is an arithmetic number, because the mean of its divisors is an integer number (23765400).

Almost surely, 2^505085160 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 505085160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760492800).

505085160 is an abundant number, since it is smaller than the sum of its proper divisors (1015900440).

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

505085160 is a wasteful number, since it uses less digits than its factorization.

505085160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15930 (or 15926 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 505085160 is about 22474.0997595009. The cubic root of 505085160 is about 796.3821847620.

The spelling of 505085160 in words is "five hundred five million, eighty-five thousand, one hundred sixty".