480747328118400 has 3840 divisors, whose sum is σ = 2126303079321600. Its totient is φ = 94771947110400.

The previous prime is 480747328118357. The next prime is 480747328118423. The reversal of 480747328118400 is 4811823747084.

It is a super-3 number, since 3×480747328118400³ (a number of 45 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 (57).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 230795643759 + ... + 230795645841.

It is an arithmetic number, because the mean of its divisors is an integer number (553724760240).

Almost surely, 2^{480747328118400} is an apocalyptic number.

480747328118400 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 480747328118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063151539660800).

480747328118400 is an abundant number, since it is smaller than the sum of its proper divisors (1645555751203200).

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

480747328118400 is a wasteful number, since it uses less digits than its factorization.

480747328118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 57.

The spelling of 480747328118400 in words is "four hundred eighty trillion, seven hundred forty-seven billion, three hundred twenty-eight million, one hundred eighteen thousand, four hundred".