530524800 has 432 divisors, whose sum is σ = 2068659450. Its totient is φ = 129392640.

The previous prime is 530524751. The next prime is 530524807. The reversal of 530524800 is 8425035.

530524800 is a `hidden beast` number, since 530 + 52 + 4 + 80 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 788544 + 529736256 = 888^2 + 23016^2 .

It is not an unprimeable number, because it can be changed into a prime (530524807) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4867146 + ... + 4867254.

Almost surely, 2^530524800 is an apocalyptic number.

530524800 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 530524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034329725).

530524800 is an abundant number, since it is smaller than the sum of its proper divisors (1538134650).

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

530524800 is a wasteful number, since it uses less digits than its factorization.

530524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 530524800 is about 23033.1239739641. The cubic root of 530524800 is about 809.5342544267.

Adding to 530524800 its reverse (8425035), we get a palindrome (538949835).

The spelling of 530524800 in words is "five hundred thirty million, five hundred twenty-four thousand, eight hundred".