530824320 has 512 divisors, whose sum is σ = 2159136000. Its totient is φ = 122093568.

The previous prime is 530824277. The next prime is 530824339. The reversal of 530824320 is 23428035.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3818811 + ... + 3818949.

Almost surely, 2^530824320 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 530824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079568000).

530824320 is an abundant number, since it is smaller than the sum of its proper divisors (1628311680).

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

530824320 is a wasteful number, since it uses less digits than its factorization.

530824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 530824320 is about 23039.6249969482. The cubic root of 530824320 is about 809.6865728374.

The spelling of 530824320 in words is "five hundred thirty million, eight hundred twenty-four thousand, three hundred twenty".