516409 has 8 divisors (see below), whose sum is σ = 562248. Its totient is φ = 472320.

The previous prime is 516407. The next prime is 516421. The reversal of 516409 is 904615.

It can be written as a sum of positive squares in 4 ways, for example, as 189225 + 327184 = 435^2 + 572^2 .

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 516409 - 2¹ = 516407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516407) 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, 219 + ... + 1039.

It is an arithmetic number, because the mean of its divisors is an integer number (70281).

2⁵¹⁶⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

516409 is a deficient number, since it is larger than the sum of its proper divisors (45839).

516409 is a wasteful number, since it uses less digits than its factorization.

516409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 516409 is about 718.6160309929. The cubic root of 516409 is about 80.2289793968.

The spelling of 516409 in words is "five hundred sixteen thousand, four hundred nine".