473504 has 12 divisors (see below), whose sum is σ = 932274. Its totient is φ = 236736.

The previous prime is 473503. The next prime is 473507. The reversal of 473504 is 405374.

473504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 425104 + 48400 = 652^2 + 220^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 473504.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 473504.

It is not an unprimeable number, because it can be changed into a prime (473503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7367 + ... + 7430.

2⁴⁷³⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

473504 is a deficient number, since it is larger than the sum of its proper divisors (458770).

473504 is a wasteful number, since it uses less digits than its factorization.

473504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14807 (or 14799 counting only the distinct ones).

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

The square root of 473504 is about 688.1162692452. The cubic root of 473504 is about 77.9425393154.

Adding to 473504 its reverse (405374), we get a palindrome (878878).

The spelling of 473504 in words is "four hundred seventy-three thousand, five hundred four".