530392320 has 288 divisors, whose sum is σ = 1913184000. Its totient is φ = 139124736.

The previous prime is 530392319. The next prime is 530392381. The reversal of 530392320 is 23293035.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×530392320² = 562632026229964800, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 3559606 + ... + 3559754.

It is an arithmetic number, because the mean of its divisors is an integer number (6643000).

Almost surely, 2^530392320 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 530392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956592000).

530392320 is an abundant number, since it is smaller than the sum of its proper divisors (1382791680).

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

530392320 is a wasteful number, since it uses less digits than its factorization.

530392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 530392320 is about 23030.2479361382. The cubic root of 530392320 is about 809.4668645350.

The spelling of 530392320 in words is "five hundred thirty million, three hundred ninety-two thousand, three hundred twenty".