505920 has 112 divisors (see below), whose sum is σ = 1755648. Its totient is φ = 122880.

The previous prime is 505919. The next prime is 505927. The reversal of 505920 is 29505.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505920.

It is not an unprimeable number, because it can be changed into a prime (505927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16305 + ... + 16335.

2⁵⁰⁵⁹²⁰ 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 505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877824).

505920 is an abundant number, since it is smaller than the sum of its proper divisors (1249728).

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

505920 is a wasteful number, since it uses less digits than its factorization.

505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 505920 is about 711.2805353726. The cubic root of 505920 is about 79.6820715256.

The spelling of 505920 in words is "five hundred five thousand, nine hundred twenty".