480057047484084 has 216 divisors, whose sum is σ = 1457750289235968. Its totient is φ = 132678316794240.

The previous prime is 480057047484059. The next prime is 480057047484097. The reversal of 480057047484084 is 480484740750084.

480057047484084 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 5 + 7 + 0 + 474 + 84 + 0 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127027917 + ... + 130752459.

It is an arithmetic number, because the mean of its divisors is an integer number (6748843931648).

Almost surely, 2^{480057047484084} 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 480057047484084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728875144617984).

480057047484084 is an abundant number, since it is smaller than the sum of its proper divisors (977693241751884).

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

480057047484084 is a wasteful number, since it uses less digits than its factorization.

480057047484084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726955 (or 3726943 counting only the distinct ones).

The product of its (nonzero) digits is 128450560, while the sum is 63.

The spelling of 480057047484084 in words is "four hundred eighty trillion, fifty-seven billion, forty-seven million, four hundred eighty-four thousand, eighty-four".