478332 has 48 divisors (see below), whose sum is σ = 1281280. Its totient is φ = 154224.

The previous prime is 478321. The next prime is 478339. The reversal of 478332 is 233874.

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

It is a junction number, because it is equal to n+sod(n) for n = 478296 and 478305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478339) by changing a digit.

478332 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4593 + ... + 4695.

2⁴⁷⁸³³² 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 478332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640640).

478332 is an abundant number, since it is smaller than the sum of its proper divisors (802948).

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

478332 is a wasteful number, since it uses less digits than its factorization.

478332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 478332 is about 691.6155001155. The cubic root of 478332 is about 78.2065531320.

The spelling of 478332 in words is "four hundred seventy-eight thousand, three hundred thirty-two".