506544 has 40 divisors (see below), whose sum is σ = 1337712. Its totient is φ = 165120.

The previous prime is 506537. The next prime is 506551. The reversal of 506544 is 445605.

It is an interprime number because it is at equal distance from previous prime (506537) and next prime (506551).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 2842 + ... + 3014.

2⁵⁰⁶⁵⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668856).

506544 is an abundant number, since it is smaller than the sum of its proper divisors (831168).

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

506544 is a wasteful number, since it uses less digits than its factorization.

506544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 506544 is about 711.7190456915. The cubic root of 506544 is about 79.7148179312.

The spelling of 506544 in words is "five hundred six thousand, five hundred forty-four".