505540 has 48 divisors (see below), whose sum is σ = 1274112. Its totient is φ = 164736.

The previous prime is 505537. The next prime is 505559. The reversal of 505540 is 45505.

505540 = T₆₅ + T₆₆ + ... + T₁₄₈.

It is a happy number.

505540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 3142 + ... + 3298.

It is an arithmetic number, because the mean of its divisors is an integer number (26544).

2⁵⁰⁵⁵⁴⁰ 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 505540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637056).

505540 is an abundant number, since it is smaller than the sum of its proper divisors (768572).

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

505540 is a wasteful number, since it uses less digits than its factorization.

505540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 505540 is about 711.0133613372. The cubic root of 505540 is about 79.6621166109.

Subtracting from 505540 its sum of digits (19), we obtain a square (505521 = 711²).

The spelling of 505540 in words is "five hundred five thousand, five hundred forty".