505616160 has 192 divisors, whose sum is σ = 1883347200. Its totient is φ = 111562752.

The previous prime is 505616149. The next prime is 505616161. The reversal of 505616160 is 61616505.

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

It is not an unprimeable number, because it can be changed into a prime (505616161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94846 + ... + 100034.

It is an arithmetic number, because the mean of its divisors is an integer number (9809100).

Almost surely, 2^505616160 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 505616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941673600).

505616160 is an abundant number, since it is smaller than the sum of its proper divisors (1377731040).

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

505616160 is a wasteful number, since it uses less digits than its factorization.

505616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5243 (or 5235 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 505616160 is about 22485.9102550909. The cubic root of 505616160 is about 796.6611679699.

The spelling of 505616160 in words is "five hundred five million, six hundred sixteen thousand, one hundred sixty".