509230080 has 264 divisors, whose sum is σ = 1812528432. Its totient is φ = 132120576.

The previous prime is 509230079. The next prime is 509230081. The reversal of 509230080 is 80032905.

It is an interprime number because it is at equal distance from previous prime (509230079) and next prime (509230081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509230081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981312 + ... + 1981568.

It is an arithmetic number, because the mean of its divisors is an integer number (6865638).

Almost surely, 2^509230080 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 509230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906264216).

509230080 is an abundant number, since it is smaller than the sum of its proper divisors (1303298352).

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

509230080 is a wasteful number, since it uses less digits than its factorization.

509230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 509230080 is about 22566.1268276149. The cubic root of 509230080 is about 798.5547238769.

Adding to 509230080 its reverse (80032905), we get a palindrome (589262985).

The spelling of 509230080 in words is "five hundred nine million, two hundred thirty thousand, eighty".