506493 has 30 divisors (see below), whose sum is σ = 841434. Its totient is φ = 303264.

The previous prime is 506491. The next prime is 506501. The reversal of 506493 is 394605.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 26244 + 480249 = 162^2 + 693^2 .

It is not a de Polignac number, because 506493 - 2¹ = 506491 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506491) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13671 + ... + 13707.

2⁵⁰⁶⁴⁹³ is an apocalyptic number.

It is an amenable number.

506493 is a deficient number, since it is larger than the sum of its proper divisors (334941).

506493 is a wasteful number, since it uses less digits than its factorization.

506493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 506493 is about 711.6832160449. The cubic root of 506493 is about 79.7121425518.

It can be divided in two parts, 506 and 493, that added together give a palindrome (999).

The spelling of 506493 in words is "five hundred six thousand, four hundred ninety-three".