506187360 has 384 divisors, whose sum is σ = 2133734400. Its totient is φ = 109486080.

The previous prime is 506187347. The next prime is 506187397. The reversal of 506187360 is 63781605.

506187360 is a `hidden beast` number, since 5 + 0 + 618 + 7 + 36 + 0 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574120 + ... + 575000.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2^506187360 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 506187360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066867200).

506187360 is an abundant number, since it is smaller than the sum of its proper divisors (1627547040).

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

506187360 is a wasteful number, since it uses less digits than its factorization.

506187360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 506187360 is about 22498.6079569381. The cubic root of 506187360 is about 796.9610539594.

The spelling of 506187360 in words is "five hundred six million, one hundred eighty-seven thousand, three hundred sixty".