484399296144 has 75 divisors (see below), whose sum is σ = 1402064620473. Its totient is φ = 161458080192.

The previous prime is 484399296107. The next prime is 484399296151. The reversal of 484399296144 is 441692993484.

The square root of 484399296144 is 695988.

It is a perfect power (a square), and thus also a powerful number.

484399296144 is a `hidden beast` number, since 4 + 8 + 4 + 3 + 9 + 9 + 2 + 9 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 455868032400 + 28531263744 = 675180^2 + 168912^2 .

It is a super-2 number, since 2×484399296144² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25045902 + ... + 25065234.

Almost surely, 2^484399296144 is an apocalyptic number.

484399296144 is the 695988-th square number.

It is an amenable number.

484399296144 is an abundant number, since it is smaller than the sum of its proper divisors (917665324329).

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

484399296144 is an frugal number, since it uses more digits than its factorization.

484399296144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38686 (or 19338 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 484399296144 in words is "four hundred eighty-four billion, three hundred ninety-nine million, two hundred ninety-six thousand, one hundred forty-four".