480313525423800 has 192 divisors, whose sum is σ = 1523688503230080. Its totient is φ = 125097584048640.

The previous prime is 480313525423747. The next prime is 480313525423817. The reversal of 480313525423800 is 8324525313084.

It is a self number, because there is not a number n which added to its sum of digits gives 480313525423800.

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, 446654367 + ... + 447728433.

It is an arithmetic number, because the mean of its divisors is an integer number (7935877620990).

Almost surely, 2^{480313525423800} is an apocalyptic number.

480313525423800 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 480313525423800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761844251615040).

480313525423800 is an abundant number, since it is smaller than the sum of its proper divisors (1043374977806280).

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

480313525423800 is a wasteful number, since it uses less digits than its factorization.

480313525423800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091462 (or 1091453 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 480313525423800 in words is "four hundred eighty trillion, three hundred thirteen billion, five hundred twenty-five million, four hundred twenty-three thousand, eight hundred".