484771682304 has 960 divisors, whose sum is σ = 1887954868800. Its totient is φ = 120267472896.

The previous prime is 484771682267. The next prime is 484771682359. The reversal of 484771682304 is 403286177484.

484771682304 is a `hidden beast` number, since 4 + 8 + 477 + 168 + 2 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 256627792 + ... + 256629680.

It is an arithmetic number, because the mean of its divisors is an integer number (1966619655).

Almost surely, 2^484771682304 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 484771682304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943977434400).

484771682304 is an abundant number, since it is smaller than the sum of its proper divisors (1403183186496).

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

484771682304 is a wasteful number, since it uses less digits than its factorization.

484771682304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 484771682304 in words is "four hundred eighty-four billion, seven hundred seventy-one million, six hundred eighty-two thousand, three hundred four".