506356200 has 216 divisors, whose sum is σ = 1978492230. Its totient is φ = 115718400.

The previous prime is 506356189. The next prime is 506356219. The reversal of 506356200 is 2653605.

506356200 is a `hidden beast` number, since 5 + 0 + 6 + 35 + 620 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 374887044 + 131469156 = 19362^2 + 11466^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 85330 + ... + 91070.

Almost surely, 2^506356200 is an apocalyptic number.

506356200 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 506356200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989246115).

506356200 is an abundant number, since it is smaller than the sum of its proper divisors (1472136030).

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

506356200 is a wasteful number, since it uses less digits than its factorization.

506356200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 506356200 is about 22502.3598762441. The cubic root of 506356200 is about 797.0496535287.

The spelling of 506356200 in words is "five hundred six million, three hundred fifty-six thousand, two hundred".