505890 has 96 divisors (see below), whose sum is σ = 1662336. Its totient is φ = 103680.

The previous prime is 505877. The next prime is 505907. The reversal of 505890 is 98505.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6894 + ... + 6966.

It is an arithmetic number, because the mean of its divisors is an integer number (17316).

2⁵⁰⁵⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831168).

505890 is an abundant number, since it is smaller than the sum of its proper divisors (1156446).

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

505890 is a wasteful number, since it uses less digits than its factorization.

505890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 101 counting only the distinct ones).

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

The square root of 505890 is about 711.2594463345. The cubic root of 505890 is about 79.6804965010.

The spelling of 505890 in words is "five hundred five thousand, eight hundred ninety".