506736200 has 24 divisors (see below), whose sum is σ = 1178162130. Its totient is φ = 202694400.

The previous prime is 506736173. The next prime is 506736239. The reversal of 506736200 is 2637605.

It can be written as a sum of positive squares in 3 ways, for example, as 186540964 + 320195236 = 13658^2 + 17894^2 .

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 5 ways as a sum of consecutive naturals, for example, 1266641 + ... + 1267040.

Almost surely, 2^506736200 is an apocalyptic number.

506736200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506736200 is an abundant number, since it is smaller than the sum of its proper divisors (671425930).

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

506736200 is a wasteful number, since it uses less digits than its factorization.

506736200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533697 (or 2533688 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 506736200 is about 22510.8018515556. The cubic root of 506736200 is about 797.2489882617.

The spelling of 506736200 in words is "five hundred six million, seven hundred thirty-six thousand, two hundred".