506440 has 32 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 184000.

The previous prime is 506423. The next prime is 506449. The reversal of 506440 is 44605.

506440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (506449) by changing a digit.

506440 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, 136 + ... + 1015.

It is an arithmetic number, because the mean of its divisors is an integer number (38880).

2⁵⁰⁶⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

506440 is an abundant number, since it is smaller than the sum of its proper divisors (737720).

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

506440 is a wasteful number, since it uses less digits than its factorization.

506440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 506440 is about 711.6459794027. The cubic root of 506440 is about 79.7093620652.

It can be divided in two parts, 506 and 440, that added together give a triangular number (946 = T₄₃).

The spelling of 506440 in words is "five hundred six thousand, four hundred forty".