505892160 has 168 divisors, whose sum is σ = 1749201480. Its totient is φ = 134197248.

The previous prime is 505892159. The next prime is 505892173. The reversal of 505892160 is 61298505.

It is a happy number.

505892160 is a `hidden beast` number, since 50 + 589 + 21 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 502477056 = 1848^2 + 22416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774394 + ... + 775046.

Almost surely, 2^505892160 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 505892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874600740).

505892160 is an abundant number, since it is smaller than the sum of its proper divisors (1243309320).

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

505892160 is a wasteful number, since it uses less digits than its factorization.

505892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 505892160 is about 22492.0465942964. The cubic root of 505892160 is about 796.8060990485.

The spelling of 505892160 in words is "five hundred five million, eight hundred ninety-two thousand, one hundred sixty".