480848071500 has 144 divisors (see below), whose sum is σ = 1517295963456. Its totient is φ = 128193984000.

The previous prime is 480848071481. The next prime is 480848071523. The reversal of 480848071500 is 5170848084.

480848071500 is a `hidden beast` number, since 480 + 84 + 80 + 7 + 15 + 0 + 0 = 666.

It is a super-3 number, since 3×480848071500³ (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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21908532 + ... + 21930468.

It is an arithmetic number, because the mean of its divisors is an integer number (10536777524).

Almost surely, 2^480848071500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480848071500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758647981728).

480848071500 is an abundant number, since it is smaller than the sum of its proper divisors (1036447891956).

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

480848071500 is a wasteful number, since it uses less digits than its factorization.

480848071500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26833 (or 26818 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 480848071500 in words is "four hundred eighty billion, eight hundred forty-eight million, seventy-one thousand, five hundred".