447781797225 has 81 divisors (see below), whose sum is σ = 933116545413. Its totient is φ = 204668130240.

The previous prime is 447781797119. The next prime is 447781797311. The reversal of 447781797225 is 522797187744.

The square root of 447781797225 is 669165.

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

447781797225 is a `hidden beast` number, since 4 + 477 + 8 + 1 + 79 + 72 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20254128489 + 427527668736 = 142317^2 + 653856^2 .

It is not a de Polignac number, because 447781797225 - 2¹³ = 447781789033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 80 ways as a sum of consecutive naturals, for example, 70259139 + ... + 70265511.

Almost surely, 2^447781797225 is an apocalyptic number.

447781797225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

447781797225 is the 669165-th square number.

447781797225 is the 334583-rd centered octagonal number.

It is an amenable number.

447781797225 is an abundant number, since it is smaller than the sum of its proper divisors (485334748188).

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

447781797225 is an frugal number, since it uses more digits than its factorization.

447781797225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12776 (or 6388 counting only the distinct ones).

The product of its digits is 55319040, while the sum is 63.

The spelling of 447781797225 in words is "four hundred forty-seven billion, seven hundred eighty-one million, seven hundred ninety-seven thousand, two hundred twenty-five".