505440315 has 48 divisors (see below), whose sum is σ = 898560000. Its totient is φ = 262737216.

The previous prime is 505440289. The next prime is 505440317. The reversal of 505440315 is 513044505.

It is not a de Polignac number, because 505440315 - 2⁵ = 505440283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505440317) 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 47 ways as a sum of consecutive naturals, for example, 336436 + ... + 337934.

It is an arithmetic number, because the mean of its divisors is an integer number (18720000).

Almost surely, 2^505440315 is an apocalyptic number.

505440315 is a deficient number, since it is larger than the sum of its proper divisors (393119685).

505440315 is a wasteful number, since it uses less digits than its factorization.

505440315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 505440315 is about 22481.9997998399. Note that the first 3 decimals coincide. The cubic root of 505440315 is about 796.5688020360.

It can be divided in two parts, 5054 and 40315, that added together give a square (45369 = 213²).

The spelling of 505440315 in words is "five hundred five million, four hundred forty thousand, three hundred fifteen".