479120 has 40 divisors (see below), whose sum is σ = 1145016. Its totient is φ = 186368.

The previous prime is 479081. The next prime is 479131. The reversal of 479120 is 21974.

479120 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 473344 = 76^2 + 688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

479120 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 7 ways as a sum of consecutive naturals, for example, 4184 + ... + 4296.

2⁴⁷⁹¹²⁰ is an apocalyptic number.

479120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572508).

479120 is an abundant number, since it is smaller than the sum of its proper divisors (665896).

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

479120 is a wasteful number, since it uses less digits than its factorization.

479120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 479120 is about 692.1849463836. The cubic root of 479120 is about 78.2494751706.

The spelling of 479120 in words is "four hundred seventy-nine thousand, one hundred twenty".