447393765625 has 21 divisors (see below), whose sum is σ = 559339578643. Its totient is φ = 357848125000.

The previous prime is 447393765601. The next prime is 447393765629. The reversal of 447393765625 is 526567393744.

The square root of 447393765625 is 668875.

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

It can be written as a sum of positive squares in 3 ways, for example, as 391959888489 + 55433877136 = 626067^2 + 235444^2 .

It is a de Polignac number, because none of the positive numbers 2^k-447393765625 is a prime.

It is a super-2 number, since 2×447393765625² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (447393765629) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 83606700 + ... + 83612050.

Almost surely, 2^447393765625 is an apocalyptic number.

447393765625 is the 668875-th square number.

447393765625 is the 334438-th centered octagonal number.

It is an amenable number.

447393765625 is a deficient number, since it is larger than the sum of its proper divisors (111945813018).

447393765625 is an frugal number, since it uses more digits than its factorization.

447393765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10732 (or 5356 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 61.

The spelling of 447393765625 in words is "four hundred forty-seven billion, three hundred ninety-three million, seven hundred sixty-five thousand, six hundred twenty-five".