506243200 has 48 divisors (see below), whose sum is σ = 1250586810. Its totient is φ = 202496000.

The previous prime is 506243191. The next prime is 506243219. The reversal of 506243200 is 2342605.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 218330176 + 287913024 = 14776^2 + 16968^2 .

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 5 ways as a sum of consecutive naturals, for example, 75901 + ... + 82300.

Almost surely, 2^506243200 is an apocalyptic number.

506243200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506243200 is an abundant number, since it is smaller than the sum of its proper divisors (744343610).

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

506243200 is a wasteful number, since it uses less digits than its factorization.

506243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158225 (or 158208 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 506243200 is about 22499.8488883815. The cubic root of 506243200 is about 796.9903584373.

Adding to 506243200 its reverse (2342605), we get a palindrome (508585805).

It can be divided in two parts, 50624 and 3200, that added together give a square (53824 = 232²).

The spelling of 506243200 in words is "five hundred six million, two hundred forty-three thousand, two hundred".