479808 has 126 divisors (see below), whose sum is σ = 1693926. Its totient is φ = 129024.

The previous prime is 479797. The next prime is 479813. The reversal of 479808 is 808974.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 28224 = 672^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

479808 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 17 ways as a sum of consecutive naturals, for example, 28216 + ... + 28232.

2⁴⁷⁹⁸⁰⁸ is an apocalyptic number.

479808 is a gapful number since it is divisible by the number (48) 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 479808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846963).

479808 is an abundant number, since it is smaller than the sum of its proper divisors (1214118).

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

479808 is a wasteful number, since it uses less digits than its factorization.

479808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 479808 is about 692.6817451038. The cubic root of 479808 is about 78.2869117841.

The spelling of 479808 in words is "four hundred seventy-nine thousand, eight hundred eight".