505288 has 24 divisors (see below), whose sum is σ = 1102950. Its totient is φ = 216384.

The previous prime is 505283. The next prime is 505301. The reversal of 505288 is 882505.

It can be written as a sum of positive squares in only one way, i.e., 362404 + 142884 = 602^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (505283) by changing a digit.

505288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 253 + ... + 1036.

2⁵⁰⁵²⁸⁸ is an apocalyptic number.

It is an amenable number.

505288 is an abundant number, since it is smaller than the sum of its proper divisors (597662).

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

505288 is a wasteful number, since it uses less digits than its factorization.

505288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 505288 is about 710.8361273880. The cubic root of 505288 is about 79.6488778366.

The spelling of 505288 in words is "five hundred five thousand, two hundred eighty-eight".