475332 has 48 divisors (see below), whose sum is σ = 1307712. Its totient is φ = 132480.

The previous prime is 475331. The next prime is 475333. The reversal of 475332 is 233574.

It is an interprime number because it is at equal distance from previous prime (475331) and next prime (475333).

It is a d-powerful number, because it can be written as 4⁴ + 7⁶ + 3¹¹ + 5⁵ + 3¹¹ + 2³ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 475332.

It is not an unprimeable number, because it can be changed into a prime (475331) 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 15 ways as a sum of consecutive naturals, for example, 1578 + ... + 1854.

It is an arithmetic number, because the mean of its divisors is an integer number (27244).

2⁴⁷⁵³³² 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 475332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653856).

475332 is an abundant number, since it is smaller than the sum of its proper divisors (832380).

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

475332 is a wasteful number, since it uses less digits than its factorization.

475332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its digits is 2520, while the sum is 24.

The square root of 475332 is about 689.4432536475. The cubic root of 475332 is about 78.0427116502.

The spelling of 475332 in words is "four hundred seventy-five thousand, three hundred thirty-two".