476928 has 90 divisors (see below), whose sum is σ = 1483944. Its totient is φ = 152064.

The previous prime is 476921. The next prime is 476929. The reversal of 476928 is 829674.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (24192) is a multiple of the sum of its prime divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 476892 and 476901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476921) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 20725 + ... + 20747.

2⁴⁷⁶⁹²⁸ is an apocalyptic number.

476928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741972).

476928 is an abundant number, since it is smaller than the sum of its proper divisors (1007016).

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

476928 is an equidigital number, since it uses as much as digits as its factorization.

476928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 28 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 476928 is about 690.5997393570. The cubic root of 476928 is about 78.1299608583.

The spelling of 476928 in words is "four hundred seventy-six thousand, nine hundred twenty-eight".