30457928484 has 243 divisors, whose sum is σ = 86163602707. Its totient is φ = 9069559296.

The previous prime is 30457928461. The next prime is 30457928537. The reversal of 30457928484 is 48482975403.

The square root of 30457928484 is 174522.

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

30457928484 is a `hidden beast` number, since 3 + 0 + 4 + 579 + 28 + 48 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3010716900 + 27447211584 = 54870^2 + 165672^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30457928484.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 516236047 + ... + 516236105.

Almost surely, 2^30457928484 is an apocalyptic number.

30457928484 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

30457928484 is the 174522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30457928484

30457928484 is an abundant number, since it is smaller than the sum of its proper divisors (55705674223).

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

30457928484 is a wasteful number, since it uses less digits than its factorization.

30457928484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 30457928484 in words is "thirty billion, four hundred fifty-seven million, nine hundred twenty-eight thousand, four hundred eighty-four".