473888 has 24 divisors (see below), whose sum is σ = 952560. Its totient is φ = 232000.

The previous prime is 473887. The next prime is 473899. The reversal of 473888 is 888374.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 473888.

It is not an unprimeable number, because it can be changed into a prime (473887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1763 + ... + 2013.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2⁴⁷³⁸⁸⁸ 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 473888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280).

473888 is an abundant number, since it is smaller than the sum of its proper divisors (478672).

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

473888 is a wasteful number, since it uses less digits than its factorization.

473888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 473888 is about 688.3952353118. The cubic root of 473888 is about 77.9636034443.

It can be divided in two parts, 473 and 888, that multiplied together give a palindrome (420024).

The spelling of 473888 in words is "four hundred seventy-three thousand, eight hundred eighty-eight".