475304 has 32 divisors (see below), whose sum is σ = 972000. Its totient is φ = 217152.

The previous prime is 475301. The next prime is 475327. The reversal of 475304 is 403574.

It is a super-3 number, since 3×475304³ = 322133330162683392, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 475304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475301) 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 7 ways as a sum of consecutive naturals, for example, 8027 + ... + 8085.

It is an arithmetic number, because the mean of its divisors is an integer number (30375).

2⁴⁷⁵³⁰⁴ is an apocalyptic number.

It is an amenable number.

475304 is an abundant number, since it is smaller than the sum of its proper divisors (496696).

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

475304 is a wasteful number, since it uses less digits than its factorization.

475304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 475304 is about 689.4229471087. The cubic root of 475304 is about 78.0411792203.

Adding to 475304 its reverse (403574), we get a palindrome (878878).

It can be divided in two parts, 475 and 304, that multiplied together give a square (144400 = 380²).

The spelling of 475304 in words is "four hundred seventy-five thousand, three hundred four".