506388 has 24 divisors (see below), whose sum is σ = 1244320. Its totient is φ = 159840.

The previous prime is 506381. The next prime is 506393. The reversal of 506388 is 883605.

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 506388.

It is not an unprimeable number, because it can be changed into a prime (506381) by changing a digit.

506388 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883 + ... + 1338.

2⁵⁰⁶³⁸⁸ is an apocalyptic number.

It is an amenable number.

506388 is an abundant number, since it is smaller than the sum of its proper divisors (737932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506388 is a wasteful number, since it uses less digits than its factorization.

506388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 506388 is about 711.6094434449. The cubic root of 506388 is about 79.7066338521.

It can be divided in two parts, 5063 and 88, that multiplied together give a palindrome (445544).

The spelling of 506388 in words is "five hundred six thousand, three hundred eighty-eight".