479872512000 has 2496 divisors, whose sum is σ = 2232565171200. Its totient is φ = 100329062400.

The previous prime is 479872511939. The next prime is 479872512017. The reversal of 479872512000 is 215278974.

It is a happy number.

479872512000 is a `hidden beast` number, since 47 + 98 + 7 + 2 + 512 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16547327986 + ... + 16547328014.

It is an arithmetic number, because the mean of its divisors is an integer number (894457200).

Almost surely, 2^479872512000 is an apocalyptic number.

479872512000 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 479872512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116282585600).

479872512000 is an abundant number, since it is smaller than the sum of its proper divisors (1752692659200).

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

479872512000 is an equidigital number, since it uses as much as digits as its factorization.

479872512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 479872512000 in words is "four hundred seventy-nine billion, eight hundred seventy-two million, five hundred twelve thousand".