478068530625 has 225 divisors, whose sum is σ = 1040472736677. Its totient is φ = 218047788000.

The previous prime is 478068530587. The next prime is 478068530671. The reversal of 478068530625 is 526035860874.

The square root of 478068530625 is 691425.

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

478068530625 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 6 + 8 + 5 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37480572801 + 440587957824 = 193599^2 + 663768^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 478068530625 - 2⁹ = 478068530113 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1088994156 + ... + 1088994594.

Almost surely, 2^478068530625 is an apocalyptic number.

478068530625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

478068530625 is the 691425-th square number.

478068530625 is the 345713-rd centered octagonal number.

It is an amenable number.

478068530625 is an abundant number, since it is smaller than the sum of its proper divisors (562404206052).

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

478068530625 is an frugal number, since it uses more digits than its factorization.

478068530625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 478068530625 in words is "four hundred seventy-eight billion, sixty-eight million, five hundred thirty thousand, six hundred twenty-five".