506247200 has 72 divisors (see below), whose sum is σ = 1278550980. Its totient is φ = 195507200.

The previous prime is 506247187. The next prime is 506247211. The reversal of 506247200 is 2742605.

It can be written as a sum of positive squares in 6 ways, for example, as 211644304 + 294602896 = 14548^2 + 17164^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 506247200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12290 + ... + 34110.

Almost surely, 2^506247200 is an apocalyptic number.

506247200 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 506247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639275490).

506247200 is an abundant number, since it is smaller than the sum of its proper divisors (772303780).

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

506247200 is a wasteful number, since it uses less digits than its factorization.

506247200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21870 (or 21857 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 506247200 is about 22499.9377776917. The cubic root of 506247200 is about 796.9924575292.

Adding to 506247200 its reverse (2742605), we get a palindrome (508989805).

The spelling of 506247200 in words is "five hundred six million, two hundred forty-seven thousand, two hundred".