506410 has 16 divisors (see below), whose sum is σ = 923400. Its totient is φ = 199936.

The previous prime is 506393. The next prime is 506417. The reversal of 506410 is 14605.

It can be written as a sum of positive squares in 4 ways, for example, as 239121 + 267289 = 489^2 + 517^2 .

It is not an unprimeable number, because it can be changed into a prime (506417) 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, 606 + ... + 1174.

2⁵⁰⁶⁴¹⁰ is an apocalyptic number.

506410 is a deficient number, since it is larger than the sum of its proper divisors (416990).

506410 is a wasteful number, since it uses less digits than its factorization.

506410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665.

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

The square root of 506410 is about 711.6249011944. The cubic root of 506410 is about 79.7077881189.

The spelling of 506410 in words is "five hundred six thousand, four hundred ten".