530205200 has 120 divisors (see below), whose sum is σ = 1519271808. Its totient is φ = 173859840.

The previous prime is 530205191. The next prime is 530205217. The reversal of 530205200 is 2502035.

It is a super-2 number, since 2×530205200² = 562235108214080000, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 60284 + ... + 68516.

Almost surely, 2^530205200 is an apocalyptic number.

530205200 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 530205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759635904).

530205200 is an abundant number, since it is smaller than the sum of its proper divisors (989066608).

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

530205200 is a wasteful number, since it uses less digits than its factorization.

530205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 530205200 is about 23026.1850943659. The cubic root of 530205200 is about 809.3716612614.

Adding to 530205200 its reverse (2502035), we get a palindrome (532707235).

The spelling of 530205200 in words is "five hundred thirty million, two hundred five thousand, two hundred".