505248 has 48 divisors (see below), whose sum is σ = 1401120. Its totient is φ = 158976.

The previous prime is 505237. The next prime is 505277. The reversal of 505248 is 842505.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505248.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1686 + ... + 1962.

It is an arithmetic number, because the mean of its divisors is an integer number (29190).

2⁵⁰⁵²⁴⁸ 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 505248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700560).

505248 is an abundant number, since it is smaller than the sum of its proper divisors (895872).

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

505248 is a wasteful number, since it uses less digits than its factorization.

505248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 505248 is about 710.8079909511. The cubic root of 505248 is about 79.6467760391.

The spelling of 505248 in words is "five hundred five thousand, two hundred forty-eight".