506406 has 8 divisors (see below), whose sum is σ = 1012824. Its totient is φ = 168800.

The previous prime is 506393. The next prime is 506417. The reversal of 506406 is 604605.

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

506406 is an admirable number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506406.

It is an unprimeable number.

506406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 42195 + ... + 42206.

It is an arithmetic number, because the mean of its divisors is an integer number (126603).

2⁵⁰⁶⁴⁰⁶ is an apocalyptic number.

506406 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506406 is a wasteful number, since it uses less digits than its factorization.

506406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84406.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 506406 is about 711.6220907195. The cubic root of 506406 is about 79.7075782547.

The spelling of 506406 in words is "five hundred six thousand, four hundred six".