479520 has 120 divisors (see below), whose sum is σ = 1738044. Its totient is φ = 124416.

The previous prime is 479513. The next prime is 479533. The reversal of 479520 is 25974.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 11664 = 684^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable 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 19 ways as a sum of consecutive naturals, for example, 12942 + ... + 12978.

2⁴⁷⁹⁵²⁰ is an apocalyptic number.

479520 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 479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869022).

479520 is an abundant number, since it is smaller than the sum of its proper divisors (1258524).

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

479520 is a wasteful number, since it uses less digits than its factorization.

479520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 479520 is about 692.4738262202. The cubic root of 479520 is about 78.2712450012.

It can be divided in two parts, 479 and 520, that added together give a palindrome (999).

The spelling of 479520 in words is "four hundred seventy-nine thousand, five hundred twenty".