480678127488 has 384 divisors, whose sum is σ = 1575219260160. Its totient is φ = 139633459200.

The previous prime is 480678127487. The next prime is 480678127499. The reversal of 480678127488 is 884721876084.

480678127488 is a `hidden beast` number, since 4 + 80 + 6 + 78 + 1 + 2 + 7 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×480678127488³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480678127487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19021870 + ... + 19047122.

It is an arithmetic number, because the mean of its divisors is an integer number (4102133490).

Almost surely, 2^480678127488 is an apocalyptic number.

480678127488 is a gapful number since it is divisible by the number (48) 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 480678127488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787609630080).

480678127488 is an abundant number, since it is smaller than the sum of its proper divisors (1094541132672).

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

480678127488 is a wasteful number, since it uses less digits than its factorization.

480678127488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25358 (or 25343 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 480678127488 in words is "four hundred eighty billion, six hundred seventy-eight million, one hundred twenty-seven thousand, four hundred eighty-eight".