479514083328 has 480 divisors, whose sum is σ = 1719402451200. Its totient is φ = 128930807808.

The previous prime is 479514083309. The next prime is 479514083341. The reversal of 479514083328 is 823380415974.

It is a happy number.

479514083328 is a `hidden beast` number, since 4 + 79 + 514 + 0 + 8 + 33 + 28 = 666.

It is a super-3 number, since 3×479514083328³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 52637238 + ... + 52646346.

It is an arithmetic number, because the mean of its divisors is an integer number (3582088440).

Almost surely, 2^479514083328 is an apocalyptic number.

479514083328 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 479514083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859701225600).

479514083328 is an abundant number, since it is smaller than the sum of its proper divisors (1239888367872).

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

479514083328 is an equidigital number, since it uses as much as digits as its factorization.

479514083328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9170 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 479514083328 in words is "four hundred seventy-nine billion, five hundred fourteen million, eighty-three thousand, three hundred twenty-eight".