506416 has 20 divisors (see below), whose sum is σ = 1013824. Its totient is φ = 244800.

The previous prime is 506393. The next prime is 506417. The reversal of 506416 is 614605.

506416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

506416 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (506417) 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, 15 + ... + 1006.

2⁵⁰⁶⁴¹⁶ is an apocalyptic number.

It is an amenable number.

506416 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.

506416 is a wasteful number, since it uses less digits than its factorization.

506416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 506416 is about 711.6291168860. The cubic root of 506416 is about 79.7081029132.

The spelling of 506416 in words is "five hundred six thousand, four hundred sixteen".