516405 has 16 divisors (see below), whose sum is σ = 835200. Its totient is φ = 272448.

The previous prime is 516391. The next prime is 516407. The reversal of 516405 is 504615.

It is a happy number.

516405 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 516405 - 2⁷ = 516277 is a prime.

516405 is strictly pandigital in base 7.

It is a nialpdrome in base 9.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 2496 + ... + 2694.

It is an arithmetic number, because the mean of its divisors is an integer number (52200).

2⁵¹⁶⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

516405 is a deficient number, since it is larger than the sum of its proper divisors (318795).

516405 is a wasteful number, since it uses less digits than its factorization.

516405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 516405 is about 718.6132478601. The cubic root of 516405 is about 80.2287722504.

The spelling of 516405 in words is "five hundred sixteen thousand, four hundred five".