473008 has 40 divisors (see below), whose sum is σ = 1017792. Its totient is φ = 211968.

The previous prime is 472993. The next prime is 473009. The reversal of 473008 is 800374.

473008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 473008.

It is not an unprimeable number, because it can be changed into a prime (473009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10041 + ... + 10087.

2⁴⁷³⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896).

473008 is an abundant number, since it is smaller than the sum of its proper divisors (544784).

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

473008 is a wasteful number, since it uses less digits than its factorization.

473008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 473008 is about 687.7557706047. The cubic root of 473008 is about 77.9153146203.

It can be divided in two parts, 47 and 3008, that multiplied together give a square (141376 = 376²).

The spelling of 473008 in words is "four hundred seventy-three thousand, eight".