505763648 has 28 divisors (see below), whose sum is σ = 1080828420. Its totient is φ = 233428992.

The previous prime is 505763639. The next prime is 505763669. The reversal of 505763648 is 846367505.

It can be written as a sum of positive squares in 2 ways, for example, as 261404224 + 244359424 = 16168^2 + 15632^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 505763599 and 505763608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 303113 + ... + 304776.

It is an arithmetic number, because the mean of its divisors is an integer number (38601015).

Almost surely, 2^505763648 is an apocalyptic number.

It is an amenable number.

505763648 is an abundant number, since it is smaller than the sum of its proper divisors (575064772).

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

505763648 is a wasteful number, since it uses less digits than its factorization.

505763648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607914 (or 607904 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 505763648 is about 22489.1895807741. The cubic root of 505763648 is about 796.7386223373.

The spelling of 505763648 in words is "five hundred five million, seven hundred sixty-three thousand, six hundred forty-eight".