506441 has 8 divisors (see below), whose sum is σ = 551040. Its totient is φ = 462672.

The previous prime is 506423. The next prime is 506449. The reversal of 506441 is 144605.

It is a happy number.

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 506441 - 2¹⁴ = 490057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506449) 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 7 ways as a sum of consecutive naturals, for example, 2000 + ... + 2238.

It is an arithmetic number, because the mean of its divisors is an integer number (68880).

2⁵⁰⁶⁴⁴¹ is an apocalyptic number.

It is an amenable number.

506441 is a deficient number, since it is larger than the sum of its proper divisors (44599).

506441 is a wasteful number, since it uses less digits than its factorization.

506441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 506441 is about 711.6466819989. The cubic root of 506441 is about 79.7094145290.

The spelling of 506441 in words is "five hundred six thousand, four hundred forty-one".