506350200 has 96 divisors (see below), whose sum is σ = 1574118000. Its totient is φ = 134645760.

The previous prime is 506350199. The next prime is 506350279. The reversal of 506350200 is 2053605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258826 + ... + 260774.

Almost surely, 2^506350200 is an apocalyptic number.

506350200 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 506350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787059000).

506350200 is an abundant number, since it is smaller than the sum of its proper divisors (1067767800).

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

506350200 is a wasteful number, since it uses less digits than its factorization.

506350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 506350200 is about 22502.2265564988. The cubic root of 506350200 is about 797.0465053385.

The spelling of 506350200 in words is "five hundred six million, three hundred fifty thousand, two hundred".