427944930625 has 45 divisors (see below), whose sum is σ = 541526976991. Its totient is φ = 338077640000.

The previous prime is 427944930571. The next prime is 427944930649. The reversal of 427944930625 is 526039449724.

The square root of 427944930625 is 654175.

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

It can be written as a sum of positive squares in 7 ways, for example, as 295693425729 + 132251504896 = 543777^2 + 363664^2 .

It is not a de Polignac number, because 427944930625 - 2²⁹ = 427408059713 is a prime.

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 2240549280 + ... + 2240549470.

Almost surely, 2^427944930625 is an apocalyptic number.

427944930625 is the 654175-th square number.

427944930625 is the 327088-th centered octagonal number.

It is an amenable number.

427944930625 is a deficient number, since it is larger than the sum of its proper divisors (113582046366).

427944930625 is an frugal number, since it uses more digits than its factorization.

427944930625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 427944930625 in words is "four hundred twenty-seven billion, nine hundred forty-four million, nine hundred thirty thousand, six hundred twenty-five".