479872008 has 192 divisors, whose sum is σ = 1638299520. Its totient is φ = 123264000.

The previous prime is 479871967. The next prime is 479872009. The reversal of 479872008 is 800278974.

It is not an unprimeable number, because it can be changed into a prime (479872009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 559516 + ... + 560372.

It is an arithmetic number, because the mean of its divisors is an integer number (8532810).

Almost surely, 2^479872008 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 479872008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819149760).

479872008 is an abundant number, since it is smaller than the sum of its proper divisors (1158427512).

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

479872008 is a wasteful number, since it uses less digits than its factorization.

479872008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 479872008 is about 21905.9811010600. The cubic root of 479872008 is about 782.9039287501.

The spelling of 479872008 in words is "four hundred seventy-nine million, eight hundred seventy-two thousand, eight".