484308025344 has 1080 divisors, whose sum is σ = 1771840265580. Its totient is φ = 130799370240.

The previous prime is 484308025309. The next prime is 484308025379. The reversal of 484308025344 is 443520803484.

It is a happy number.

484308025344 is a `hidden beast` number, since 4 + 8 + 4 + 30 + 80 + 2 + 534 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (484308025309) and next prime (484308025379).

It can be written as a sum of positive squares in 2 ways, for example, as 468250066944 + 16057958400 = 684288^2 + 126720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 484308025344.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16700276722 + ... + 16700276750.

Almost surely, 2^484308025344 is an apocalyptic number.

484308025344 is a gapful number since it is divisible by the number (44) 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 484308025344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885920132790).

484308025344 is an abundant number, since it is smaller than the sum of its proper divisors (1287532240236).

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

484308025344 is an equidigital number, since it uses as much as digits as its factorization.

484308025344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 484308025344 in words is "four hundred eighty-four billion, three hundred eight million, twenty-five thousand, three hundred forty-four".