506407 has 8 divisors (see below), whose sum is σ = 581760. Its totient is φ = 435960.

The previous prime is 506393. The next prime is 506417. The reversal of 506407 is 704605.

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 506407 - 2¹¹ = 504359 is a prime.

It is a Duffinian 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 506407.

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 7 ways as a sum of consecutive naturals, for example, 1003 + ... + 1420.

It is an arithmetic number, because the mean of its divisors is an integer number (72720).

2⁵⁰⁶⁴⁰⁷ is an apocalyptic number.

506407 is a deficient number, since it is larger than the sum of its proper divisors (75353).

506407 is a wasteful number, since it uses less digits than its factorization.

506407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 506407 is about 711.6227933393. The cubic root of 506407 is about 79.7076307209.

The spelling of 506407 in words is "five hundred six thousand, four hundred seven".