479832097587200 has 384 divisors, whose sum is σ = 1219699403408640. Its totient is φ = 187152098918400.

The previous prime is 479832097587197. The next prime is 479832097587203. The reversal of 479832097587200 is 2785790238974.

It is an interprime number because it is at equal distance from previous prime (479832097587197) and next prime (479832097587203).

It is not an unprimeable number, because it can be changed into a prime (479832097587203) 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, 21381927980 + ... + 21381950420.

It is an arithmetic number, because the mean of its divisors is an integer number (3176300529710).

Almost surely, 2^{479832097587200} is an apocalyptic number.

479832097587200 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 479832097587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609849701704320).

479832097587200 is an abundant number, since it is smaller than the sum of its proper divisors (739867305821440).

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

479832097587200 is an equidigital number, since it uses as much as digits as its factorization.

479832097587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23131 (or 23098 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 71.

The spelling of 479832097587200 in words is "four hundred seventy-nine trillion, eight hundred thirty-two billion, ninety-seven million, five hundred eighty-seven thousand, two hundred".