509457 has 8 divisors (see below), whose sum is σ = 731584. Its totient is φ = 313488.

The previous prime is 509449. The next prime is 509477. The reversal of 509457 is 754905.

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

It is not a de Polignac number, because 509457 - 2³ = 509449 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509457.

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 7 ways as a sum of consecutive naturals, for example, 6493 + ... + 6570.

It is an arithmetic number, because the mean of its divisors is an integer number (91448).

2⁵⁰⁹⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

509457 is a deficient number, since it is larger than the sum of its proper divisors (222127).

509457 is a wasteful number, since it uses less digits than its factorization.

509457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13079.

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 509457 is about 713.7625655636. The cubic root of 509457 is about 79.8673321956.

It can be divided in two parts, 5094 and 57, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 509457 in words is "five hundred nine thousand, four hundred fifty-seven".