505548 has 48 divisors (see below), whose sum is σ = 1361920. Its totient is φ = 162000.

The previous prime is 505537. The next prime is 505559. The reversal of 505548 is 845505.

It is an interprime number because it is at equal distance from previous prime (505537) and next prime (505559).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505548.

It is an unprimeable number.

505548 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3273 + ... + 3423.

2⁵⁰⁵⁵⁴⁸ 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 505548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680960).

505548 is an abundant number, since it is smaller than the sum of its proper divisors (856372).

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

505548 is a wasteful number, since it uses less digits than its factorization.

505548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 505548 is about 711.0189870882. The cubic root of 505548 is about 79.6625368174.

Subtracting from 505548 its sum of digits (27), we obtain a square (505521 = 711²).

The spelling of 505548 in words is "five hundred five thousand, five hundred forty-eight".