479872 has 32 divisors (see below), whose sum is σ = 1003680. Its totient is φ = 228096.

The previous prime is 479861. The next prime is 479879. The reversal of 479872 is 278974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479879) by changing a digit.

479872 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2863 + ... + 3025.

It is an arithmetic number, because the mean of its divisors is an integer number (31365).

2⁴⁷⁹⁸⁷² 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 479872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501840).

479872 is an abundant number, since it is smaller than the sum of its proper divisors (523808).

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

479872 is a wasteful number, since it uses less digits than its factorization.

479872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 479872 is about 692.7279408253. The cubic root of 479872 is about 78.2903924399.

The spelling of 479872 in words is "four hundred seventy-nine thousand, eight hundred seventy-two".