509640393 has 8 divisors (see below), whose sum is σ = 682936000. Its totient is φ = 338052528.

The previous prime is 509640377. The next prime is 509640419. The reversal of 509640393 is 393046905.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 509640393 - 2⁴ = 509640377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509640353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426238 + ... + 427431.

It is an arithmetic number, because the mean of its divisors is an integer number (85367000).

Almost surely, 2^509640393 is an apocalyptic number.

It is an amenable number.

509640393 is a deficient number, since it is larger than the sum of its proper divisors (173295607).

509640393 is a wasteful number, since it uses less digits than its factorization.

509640393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853871.

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 509640393 is about 22575.2163444783. The cubic root of 509640393 is about 798.7691452377.

The spelling of 509640393 in words is "five hundred nine million, six hundred forty thousand, three hundred ninety-three".