475584 has 28 divisors (see below), whose sum is σ = 1258824. Its totient is φ = 158464.

The previous prime is 475583. The next prime is 475597. The reversal of 475584 is 485574.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 475584.

It is not an unprimeable number, because it can be changed into a prime (475583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1047 + ... + 1430.

It is an arithmetic number, because the mean of its divisors is an integer number (44958).

2⁴⁷⁵⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

475584 is an abundant number, since it is smaller than the sum of its proper divisors (783240).

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

475584 is a wasteful number, since it uses less digits than its factorization.

475584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2482 counting only the distinct ones).

The product of its digits is 22400, while the sum is 33.

The square root of 475584 is about 689.6259855893. The cubic root of 475584 is about 78.0565008115.

The spelling of 475584 in words is "four hundred seventy-five thousand, five hundred eighty-four".