479085984 has 144 divisors (see below), whose sum is σ = 1503467784. Its totient is φ = 143769600.

The previous prime is 479085983. The next prime is 479085991. The reversal of 479085984 is 489580974.

479085984 is a `hidden beast` number, since 47 + 9 + 0 + 8 + 598 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47610000 + 431475984 = 6900^2 + 20772^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 479085984.

It is not an unprimeable number, because it can be changed into a prime (479085983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151944 + ... + 155064.

Almost surely, 2^479085984 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 479085984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751733892).

479085984 is an abundant number, since it is smaller than the sum of its proper divisors (1024381800).

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

479085984 is a wasteful number, since it uses less digits than its factorization.

479085984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 479085984 is about 21888.0328947121. The cubic root of 479085984 is about 782.4762330528.

The spelling of 479085984 in words is "four hundred seventy-nine million, eighty-five thousand, nine hundred eighty-four".