484878340224 has 96 divisors (see below), whose sum is σ = 1396780142940. Its totient is φ = 161453260800.

The previous prime is 484878340223. The next prime is 484878340267. The reversal of 484878340224 is 422043878484.

484878340224 is a `hidden beast` number, since 4 + 8 + 4 + 8 + 78 + 340 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 468348609600 + 16529730624 = 684360^2 + 128568^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (484878340223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 854824 + ... + 1304024.

Almost surely, 2^484878340224 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 484878340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698390071470).

484878340224 is an abundant number, since it is smaller than the sum of its proper divisors (911901802716).

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

484878340224 is a wasteful number, since it uses less digits than its factorization.

484878340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450158 (or 450143 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 54.

The spelling of 484878340224 in words is "four hundred eighty-four billion, eight hundred seventy-eight million, three hundred forty thousand, two hundred twenty-four".