505296 has 90 divisors (see below), whose sum is σ = 1607970. Its totient is φ = 147840.

The previous prime is 505283. The next prime is 505301. The reversal of 505296 is 692505.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 69696 = 660^2 + 264^2 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

505296 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 17 ways as a sum of consecutive naturals, for example, 17410 + ... + 17438.

2⁵⁰⁵²⁹⁶ 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 505296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803985).

505296 is an abundant number, since it is smaller than the sum of its proper divisors (1102674).

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

505296 is a wasteful number, since it uses less digits than its factorization.

505296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 505296 is about 710.8417545418. The cubic root of 505296 is about 79.6492981828.

The spelling of 505296 in words is "five hundred five thousand, two hundred ninety-six".