480749740800 has 324 divisors, whose sum is σ = 1845610451496. Its totient is φ = 109885440000.

The previous prime is 480749740741. The next prime is 480749740811. The reversal of 480749740800 is 8047947084.

It is a super-3 number, since 3×480749740800³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 685300 + ... + 1196300.

It is an arithmetic number, because the mean of its divisors is an integer number (5696328554).

Almost surely, 2^480749740800 is an apocalyptic number.

480749740800 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 480749740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922805225748).

480749740800 is an abundant number, since it is smaller than the sum of its proper divisors (1364860710696).

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

480749740800 is a wasteful number, since it uses less digits than its factorization.

480749740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511044 (or 511018 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 480749740800 in words is "four hundred eighty billion, seven hundred forty-nine million, seven hundred forty thousand, eight hundred".