585400 has 24 divisors (see below), whose sum is σ = 1361520. Its totient is φ = 234080.

The previous prime is 585391. The next prime is 585413. The reversal of 585400 is 4585.

It is a happy number.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1264 + ... + 1663.

It is an arithmetic number, because the mean of its divisors is an integer number (56730).

2⁵⁸⁵⁴⁰⁰ is an apocalyptic number.

585400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

585400 is an abundant number, since it is smaller than the sum of its proper divisors (776120).

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

585400 is a wasteful number, since it uses less digits than its factorization.

585400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 585400 is about 765.1143705355. The cubic root of 585400 is about 83.6535237173.

Adding to 585400 its reverse (4585), we get a palindrome (589985).

The spelling of 585400 in words is "five hundred eighty-five thousand, four hundred".