479232 has 78 divisors (see below), whose sum is σ = 1490762. Its totient is φ = 147456.

The previous prime is 479231. The next prime is 479239. The reversal of 479232 is 232974.

It can be written as a sum of positive squares in only one way, i.e., 331776 + 147456 = 576^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (78).

Its product of digits (3024) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 479196 and 479205.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 479232.

It is not an unprimeable number, because it can be changed into a prime (479231) by changing a digit.

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 in 5 ways as a sum of consecutive naturals, for example, 36858 + ... + 36870.

479232 is a Friedman number, since it can be written as 9*4^7*(3+2^(-2)), using all its digits and the basic arithmetic operations.

2⁴⁷⁹²³² 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 479232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745381).

479232 is an abundant number, since it is smaller than the sum of its proper divisors (1011530).

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

479232 is a wasteful number, since it uses less digits than its factorization.

479232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 18 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 479232 is about 692.2658448891. The cubic root of 479232 is about 78.2555719441.

The spelling of 479232 in words is "four hundred seventy-nine thousand, two hundred thirty-two".