506401 has 8 divisors (see below), whose sum is σ = 587264. Its totient is φ = 427680.

The previous prime is 506393. The next prime is 506417. The reversal of 506401 is 104605.

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 506401 - 2³ = 506393 is a prime.

It is a Duffinian number.

506401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (506461) 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, 16 + ... + 1006.

It is an arithmetic number, because the mean of its divisors is an integer number (73408).

2⁵⁰⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

506401 is a deficient number, since it is larger than the sum of its proper divisors (80863).

506401 is an equidigital number, since it uses as much as digits as its factorization.

506401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 506401 is about 711.6185776102. The cubic root of 506401 is about 79.7073159229.

Adding to 506401 its product of nonzero digits (120), we get a triangular number (506521 = T₁₀₀₆).

The spelling of 506401 in words is "five hundred six thousand, four hundred one".