475648 has 20 divisors (see below), whose sum is σ = 951390. Its totient is φ = 237568.

The previous prime is 475639. The next prime is 475649. The reversal of 475648 is 846574.

It can be written as a sum of positive squares in only one way, i.e., 473344 + 2304 = 688^2 + 48^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475649) by changing a digit.

475648 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48 + ... + 976.

2⁴⁷⁵⁶⁴⁸ 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 475648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475695).

475648 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

475648 is an frugal number, since it uses more digits than its factorization.

475648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 931 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 475648 is about 689.6723859921. The cubic root of 475648 is about 78.0600020451.

The spelling of 475648 in words is "four hundred seventy-five thousand, six hundred forty-eight".