479440 has 40 divisors (see below), whose sum is σ = 1203048. Its totient is φ = 176640.

The previous prime is 479431. The next prime is 479441. The reversal of 479440 is 44974.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 478864 = 24^2 + 692^2 .

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

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 479399 and 479408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 810 + ... + 1270.

2⁴⁷⁹⁴⁴⁰ is an apocalyptic number.

479440 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 479440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601524).

479440 is an abundant number, since it is smaller than the sum of its proper divisors (723608).

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

479440 is a wasteful number, since it uses less digits than its factorization.

479440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 479440 is about 692.4160598946. The cubic root of 479440 is about 78.2668920039.

It can be divided in two parts, 479 and 440, that added together give a palindrome (919).

The spelling of 479440 in words is "four hundred seventy-nine thousand, four hundred forty".