476688 has 20 divisors (see below), whose sum is σ = 1231568. Its totient is φ = 158880.

The previous prime is 476683. The next prime is 476701. The reversal of 476688 is 886674.

It is not an unprimeable number, because it can be changed into a prime (476681) by changing a digit.

476688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 4918 + ... + 5013.

2⁴⁷⁶⁶⁸⁸ is an apocalyptic number.

476688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

476688 is an abundant number, since it is smaller than the sum of its proper divisors (754880).

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

476688 is a wasteful number, since it uses less digits than its factorization.

476688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9942 (or 9936 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 476688 is about 690.4259554797. The cubic root of 476688 is about 78.1168531238.

The spelling of 476688 in words is "four hundred seventy-six thousand, six hundred eighty-eight".