506448 has 30 divisors (see below), whose sum is σ = 1417754. Its totient is φ = 168768.

The previous prime is 506423. The next prime is 506449. The reversal of 506448 is 844605.

506448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 5184 = 708^2 + 72^2 .

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 506448.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1615 + ... + 1902.

2⁵⁰⁶⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

506448 is an abundant number, since it is smaller than the sum of its proper divisors (911306).

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

506448 is a wasteful number, since it uses less digits than its factorization.

506448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 506448 is about 711.6516001528. The cubic root of 506448 is about 79.7097817737.

The spelling of 506448 in words is "five hundred six thousand, four hundred forty-eight".