470688 has 24 divisors (see below), whose sum is σ = 1235808. Its totient is φ = 156864.

The previous prime is 470669. The next prime is 470689. The reversal of 470688 is 886074.

It is a tau number, because it is divible by the number of its divisors (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 470688.

It is not an unprimeable number, because it can be changed into a prime (470689) by changing a digit.

470688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2356 + ... + 2547.

It is an arithmetic number, because the mean of its divisors is an integer number (51492).

2⁴⁷⁰⁶⁸⁸ is an apocalyptic number.

470688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

470688 is an abundant number, since it is smaller than the sum of its proper divisors (765120).

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

470688 is a wasteful number, since it uses less digits than its factorization.

470688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 470688 is about 686.0670521166. The cubic root of 470688 is about 77.7877199687.

The spelling of 470688 in words is "four hundred seventy thousand, six hundred eighty-eight".