479264 has 24 divisors (see below), whose sum is σ = 1000188. Its totient is φ = 225280.

The previous prime is 479263. The next prime is 479267. The reversal of 479264 is 462974.

479264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 478864 + 400 = 692^2 + 20^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 479264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104 + ... + 984.

2⁴⁷⁹²⁶⁴ 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 479264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500094).

479264 is an abundant number, since it is smaller than the sum of its proper divisors (520924).

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

479264 is a wasteful number, since it uses less digits than its factorization.

479264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 479264 is about 692.2889570114. The cubic root of 479264 is about 78.2573137050.

Subtracting from 479264 its reverse (462974), we obtain a triangular number (16290 = T₁₈₀).

The spelling of 479264 in words is "four hundred seventy-nine thousand, two hundred sixty-four".