506631200 has 72 divisors (see below), whose sum is σ = 1301947920. Its totient is φ = 191980800.

The previous prime is 506631179. The next prime is 506631227. The reversal of 506631200 is 2136605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1466 + ... + 31865.

It is an arithmetic number, because the mean of its divisors is an integer number (18082610).

Almost surely, 2^506631200 is an apocalyptic number.

506631200 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 506631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650973960).

506631200 is an abundant number, since it is smaller than the sum of its proper divisors (795316720).

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

506631200 is a wasteful number, since it uses less digits than its factorization.

506631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33370 (or 33357 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 506631200 is about 22508.4695170507. The cubic root of 506631200 is about 797.1939188940.

Adding to 506631200 its reverse (2136605), we get a palindrome (508767805).

The spelling of 506631200 in words is "five hundred six million, six hundred thirty-one thousand, two hundred".