479647008 has 168 divisors, whose sum is σ = 1466696700. Its totient is φ = 154151424.

The previous prime is 479646971. The next prime is 479647009. The reversal of 479647008 is 800746974.

It can be written as a sum of positive squares in 2 ways, for example, as 461906064 + 17740944 = 21492^2 + 4212^2 .

It is a super-2 number, since 2×479647008² = 460122504566704128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (479647009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 676158 + ... + 676866.

Almost surely, 2^479647008 is an apocalyptic number.

479647008 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 479647008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733348350).

479647008 is an abundant number, since it is smaller than the sum of its proper divisors (987049692).

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

479647008 is an equidigital number, since it uses as much as digits as its factorization.

479647008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 479647008 is about 21900.8449152082. The cubic root of 479647008 is about 782.7815482545.

The spelling of 479647008 in words is "four hundred seventy-nine million, six hundred forty-seven thousand, eight".