505648 has 60 divisors (see below), whose sum is σ = 1225368. Its totient is φ = 199680.

The previous prime is 505643. The next prime is 505657. The reversal of 505648 is 846505.

It is not an unprimeable number, because it can be changed into a prime (505643) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29736 + ... + 29752.

2⁵⁰⁵⁶⁴⁸ 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 505648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612684).

505648 is an abundant number, since it is smaller than the sum of its proper divisors (719720).

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

505648 is a wasteful number, since it uses less digits than its factorization.

505648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 505648 is about 711.0893052212. The cubic root of 505648 is about 79.6677890246.

The spelling of 505648 in words is "five hundred five thousand, six hundred forty-eight".