484451525734560 has 288 divisors, whose sum is σ = 1714607556742080. Its totient is φ = 129172949710848.

The previous prime is 484451525734529. The next prime is 484451525734567. The reversal of 484451525734560 is 65437525154484.

484451525734560 is a `hidden beast` number, since 4 + 8 + 4 + 4 + 5 + 1 + 5 + 2 + 573 + 4 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (484451525734567) 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, 357369399 + ... + 358722441.

It is an arithmetic number, because the mean of its divisors is an integer number (5953498460910).

Almost surely, 2^{484451525734560} is an apocalyptic number.

484451525734560 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 484451525734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857303778371040).

484451525734560 is an abundant number, since it is smaller than the sum of its proper divisors (1230156031007520).

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

484451525734560 is a wasteful number, since it uses less digits than its factorization.

484451525734560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362282 (or 1362262 counting only the distinct ones).

The product of its (nonzero) digits is 322560000, while the sum is 63.

The spelling of 484451525734560 in words is "four hundred eighty-four trillion, four hundred fifty-one billion, five hundred twenty-five million, seven hundred thirty-four thousand, five hundred sixty".