479329071200 has 288 divisors, whose sum is σ = 1402560230400. Its totient is φ = 156397824000.

The previous prime is 479329071197. The next prime is 479329071259. The reversal of 479329071200 is 2170923974.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 25621850 + ... + 25640550.

It is an arithmetic number, because the mean of its divisors is an integer number (4870000800).

Almost surely, 2^479329071200 is an apocalyptic number.

479329071200 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 479329071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701280115200).

479329071200 is an abundant number, since it is smaller than the sum of its proper divisors (923231159200).

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

479329071200 is a wasteful number, since it uses less digits than its factorization.

479329071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18950 (or 18937 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The spelling of 479329071200 in words is "four hundred seventy-nine billion, three hundred twenty-nine million, seventy-one thousand, two hundred".