530752320 has 252 divisors, whose sum is σ = 2124183204. Its totient is φ = 121282560.

The previous prime is 530752297. The next prime is 530752357. The reversal of 530752320 is 23257035.

It can be written as a sum of positive squares in 2 ways, for example, as 213627456 + 317124864 = 14616^2 + 17808^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 139240 + ... + 143000.

Almost surely, 2^530752320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062091602).

530752320 is an abundant number, since it is smaller than the sum of its proper divisors (1593430884).

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

530752320 is a wasteful number, since it uses less digits than its factorization.

530752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 530752320 is about 23038.0624185282. The cubic root of 530752320 is about 809.6499630671.

The spelling of 530752320 in words is "five hundred thirty million, seven hundred fifty-two thousand, three hundred twenty".