509407 has 4 divisors (see below), whose sum is σ = 510840. Its totient is φ = 507976.

The previous prime is 509393. The next prime is 509413. The reversal of 509407 is 704905.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 509407 - 2¹¹ = 507359 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 273 + ... + 1045.

It is an arithmetic number, because the mean of its divisors is an integer number (127710).

2⁵⁰⁹⁴⁰⁷ is an apocalyptic number.

509407 is a deficient number, since it is larger than the sum of its proper divisors (1433).

509407 is an equidigital number, since it uses as much as digits as its factorization.

509407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432.

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

The square root of 509407 is about 713.7275390511. The cubic root of 509407 is about 79.8647192847.

The spelling of 509407 in words is "five hundred nine thousand, four hundred seven".