479163340800 has 864 divisors, whose sum is σ = 1874195668800. Its totient is φ = 120992071680.

The previous prime is 479163340727. The next prime is 479163340849. The reversal of 479163340800 is 8043361974.

479163340800 is a `hidden beast` number, since 4 + 7 + 9 + 1 + 633 + 4 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 236389387 + ... + 236391413.

It is an arithmetic number, because the mean of its divisors is an integer number (2169207950).

Almost surely, 2^479163340800 is an apocalyptic number.

479163340800 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 479163340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937097834400).

479163340800 is an abundant number, since it is smaller than the sum of its proper divisors (1395032328000).

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

479163340800 is a wasteful number, since it uses less digits than its factorization.

479163340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 479163340800 in words is "four hundred seventy-nine billion, one hundred sixty-three million, three hundred forty thousand, eight hundred".