505775376 has 90 divisors (see below), whose sum is σ = 1441293230. Its totient is φ = 165570048.

The previous prime is 505775371. The next prime is 505775393. The reversal of 505775376 is 673577505.

505775376 is a `hidden beast` number, since 5 + 0 + 577 + 5 + 3 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 392990976 + 112784400 = 19824^2 + 10620^2 .

It is not an unprimeable number, because it can be changed into a prime (505775371) 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 17 ways as a sum of consecutive naturals, for example, 500760 + ... + 501768.

Almost surely, 2^505775376 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 505775376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720646615).

505775376 is an abundant number, since it is smaller than the sum of its proper divisors (935517854).

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

505775376 is a wasteful number, since it uses less digits than its factorization.

505775376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 771750, while the sum is 45.

The square root of 505775376 is about 22489.4503267643. The cubic root of 505775376 is about 796.7447807332.

The spelling of 505775376 in words is "five hundred five million, seven hundred seventy-five thousand, three hundred seventy-six".