475968 has 56 divisors (see below), whose sum is σ = 1312672. Its totient is φ = 152064.

The previous prime is 475957. The next prime is 475973. The reversal of 475968 is 869574.

475968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

475968 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 7 ways as a sum of consecutive naturals, for example, 7071 + ... + 7137.

2⁴⁷⁵⁹⁶⁸ is an apocalyptic number.

475968 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 475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656336).

475968 is an abundant number, since it is smaller than the sum of its proper divisors (836704).

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

475968 is a wasteful number, since it uses less digits than its factorization.

With its successor (475969) it forms an eRAP, since the sums of their prime factors are consecutive (119 and 120).

475968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 475968 is about 689.9043411952. The cubic root of 475968 is about 78.0775035034.

The spelling of 475968 in words is "four hundred seventy-five thousand, nine hundred sixty-eight".