585424 has 20 divisors (see below), whose sum is σ = 1296544. Its totient is φ = 250848.

The previous prime is 585413. The next prime is 585437. The reversal of 585424 is 424585.

585424 = T₄₁ + T₄₂ + ... + T₁₅₂.

585424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 585392 and 585401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2502 + ... + 2725.

2⁵⁸⁵⁴²⁴ is an apocalyptic number.

It is an amenable number.

585424 is an abundant number, since it is smaller than the sum of its proper divisors (711120).

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

585424 is a wasteful number, since it uses less digits than its factorization.

585424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5236 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 585424 is about 765.1300543045. The cubic root of 585424 is about 83.6546668998.

The spelling of 585424 in words is "five hundred eighty-five thousand, four hundred twenty-four".