479906329600 has 264 divisors, whose sum is σ = 1203175179360. Its totient is φ = 189786193920.

The previous prime is 479906329579. The next prime is 479906329601. The reversal of 479906329600 is 6923609974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479906329601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1563212647 + ... + 1563212953.

It is an arithmetic number, because the mean of its divisors is an integer number (4557481740).

Almost surely, 2^479906329600 is an apocalyptic number.

479906329600 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 479906329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601587589680).

479906329600 is an abundant number, since it is smaller than the sum of its proper divisors (723268849760).

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

479906329600 is a wasteful number, since it uses less digits than its factorization.

479906329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 55.

The spelling of 479906329600 in words is "four hundred seventy-nine billion, nine hundred six million, three hundred twenty-nine thousand, six hundred".