479313508800 has 336 divisors, whose sum is σ = 1798204907520. Its totient is φ = 109495971840.

The previous prime is 479313508747. The next prime is 479313508831. The reversal of 479313508800 is 8805313974.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 479313508800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90280546 + ... + 90285854.

It is an arithmetic number, because the mean of its divisors is an integer number (5351800320).

Almost surely, 2^479313508800 is an apocalyptic number.

479313508800 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 479313508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899102453760).

479313508800 is an abundant number, since it is smaller than the sum of its proper divisors (1318891398720).

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

479313508800 is a wasteful number, since it uses less digits than its factorization.

479313508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8028 (or 8013 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 479313508800 in words is "four hundred seventy-nine billion, three hundred thirteen million, five hundred eight thousand, eight hundred".