530038080 has 630 divisors, whose sum is σ = 2244104478. Its totient is φ = 118609920.

The previous prime is 530038073. The next prime is 530038099. The reversal of 530038080 is 80830035.

It can be written as a sum of positive squares in 3 ways, for example, as 2509056 + 527529024 = 1584^2 + 22968^2 .

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 (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 40772154 + ... + 40772166.

Almost surely, 2^530038080 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 530038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122052239).

530038080 is an abundant number, since it is smaller than the sum of its proper divisors (1714066398).

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

530038080 is a wasteful number, since it uses less digits than its factorization.

530038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 530038080 is about 23022.5558963378. Note that the first 3 decimals coincide. The cubic root of 530038080 is about 809.2866146882.

Multiplying 530038080 by its product of nonzero digits (2880), we get a square (1526509670400 = 1235520²).

530038080 divided by its product of nonzero digits (2880) gives a square (184041 = 429²).

The spelling of 530038080 in words is "five hundred thirty million, thirty-eight thousand, eighty".