506860200 has 768 divisors, whose sum is σ = 2314137600. Its totient is φ = 98841600.

The previous prime is 506860171. The next prime is 506860229. The reversal of 506860200 is 2068605.

506860200 is a `hidden beast` number, since 50 + 6 + 8 + 602 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (506860171) and next prime (506860229).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 9563374 + ... + 9563426.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 2^506860200 is an apocalyptic number.

506860200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506860200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157068800).

506860200 is an abundant number, since it is smaller than the sum of its proper divisors (1807277400).

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

506860200 is a wasteful number, since it uses less digits than its factorization.

506860200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 506860200 is about 22513.5559163807. Note that the first 3 decimals coincide. The cubic root of 506860200 is about 797.3140127668.

The spelling of 506860200 in words is "five hundred six million, eight hundred sixty thousand, two hundred".