507409 has 8 divisors (see below), whose sum is σ = 584640. Its totient is φ = 431376.

The previous prime is 507401. The next prime is 507421. The reversal of 507409 is 904705.

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

It is a cyclic number.

It is not a de Polignac number, because 507409 - 2³ = 507401 is a prime.

507409 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (507401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002 + ... + 1420.

It is an arithmetic number, because the mean of its divisors is an integer number (73080).

2⁵⁰⁷⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

507409 is a deficient number, since it is larger than the sum of its proper divisors (77231).

507409 is a wasteful number, since it uses less digits than its factorization.

507409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 507409 is about 712.3264700964. The cubic root of 507409 is about 79.7601671376.

The spelling of 507409 in words is "five hundred seven thousand, four hundred nine".