505980 has 48 divisors (see below), whose sum is σ = 1575840. Its totient is φ = 134784.

The previous prime is 505979. The next prime is 506047. The reversal of 505980 is 89505.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (32830).

2⁵⁰⁵⁹⁸⁰ 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 505980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787920).

505980 is an abundant number, since it is smaller than the sum of its proper divisors (1069860).

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

505980 is a wasteful number, since it uses less digits than its factorization.

505980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 505980 is about 711.3227115733. The cubic root of 505980 is about 79.6852213881.

It can be divided in two parts, 505 and 980, that added together give a triangular number (1485 = T₅₄).

The spelling of 505980 in words is "five hundred five thousand, nine hundred eighty".