509430460 has 192 divisors, whose sum is σ = 1401523200. Its totient is φ = 154103040.

The previous prime is 509430437. The next prime is 509430469. The reversal of 509430460 is 64034905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509430469) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3244702 + ... + 3244858.

It is an arithmetic number, because the mean of its divisors is an integer number (7299600).

Almost surely, 2^509430460 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 509430460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700761600).

509430460 is an abundant number, since it is smaller than the sum of its proper divisors (892092740).

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

509430460 is a wasteful number, since it uses less digits than its factorization.

509430460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 509430460 is about 22570.5662312668. The cubic root of 509430460 is about 798.6594528380.

The spelling of 509430460 in words is "five hundred nine million, four hundred thirty thousand, four hundred sixty".