475632 has 50 divisors (see below), whose sum is σ = 1380368. Its totient is φ = 158112.

The previous prime is 475621. The next prime is 475637. The reversal of 475632 is 236574.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 475596 and 475605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475637) by changing a digit.

475632 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 9 ways as a sum of consecutive naturals, for example, 1113 + ... + 1479.

475632 is a Friedman number, since it can be written as 6^4*(52*7+3), using all its digits and the basic arithmetic operations.

2⁴⁷⁵⁶³² 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 475632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690184).

475632 is an abundant number, since it is smaller than the sum of its proper divisors (904736).

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

475632 is a wasteful number, since it uses less digits than its factorization.

475632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 475632 is about 689.6607861840. The cubic root of 475632 is about 78.0591267661.

The spelling of 475632 in words is "four hundred seventy-five thousand, six hundred thirty-two".