479424 has 56 divisors (see below), whose sum is σ = 1389888. Its totient is φ = 144640.

The previous prime is 479419. The next prime is 479429. The reversal of 479424 is 424974.

479424 = T₈₉ + T₉₀ + ... + T₁₅₂.

479424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (479419) and next prime (479429).

It is a junction number, because it is equal to n+sod(n) for n = 479391 and 479400.

It is not an unprimeable number, because it can be changed into a prime (479429) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1999 + ... + 2225.

2⁴⁷⁹⁴²⁴ is an apocalyptic number.

479424 is a gapful number since it is divisible by the number (44) 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 479424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694944).

479424 is an abundant number, since it is smaller than the sum of its proper divisors (910464).

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

479424 is a wasteful number, since it uses less digits than its factorization.

479424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 479424 is about 692.4045060512. The cubic root of 479424 is about 78.2660213463.

It can be divided in two parts, 479 and 424, that added together give a triangular number (903 = T₄₂).

The spelling of 479424 in words is "four hundred seventy-nine thousand, four hundred twenty-four".