505575760 has 20 divisors (see below), whose sum is σ = 1175463828. Its totient is φ = 202230272.

The previous prime is 505575743. The next prime is 505575761. The reversal of 505575760 is 67575505.

It can be written as a sum of positive squares in 2 ways, for example, as 53758224 + 451817536 = 7332^2 + 21256^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505575761) by changing a digit.

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, 3159769 + ... + 3159928.

Almost surely, 2^505575760 is an apocalyptic number.

It is an amenable number.

505575760 is an abundant number, since it is smaller than the sum of its proper divisors (669888068).

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

505575760 is a wasteful number, since it uses less digits than its factorization.

505575760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6319710 (or 6319704 counting only the distinct ones).

The product of its (nonzero) digits is 183750, while the sum is 40.

The square root of 505575760 is about 22485.0118968170. The cubic root of 505575760 is about 796.6399489959.

The spelling of 505575760 in words is "five hundred five million, five hundred seventy-five thousand, seven hundred sixty".