447340257225 has 135 divisors (see below), whose sum is σ = 843092115877. Its totient is φ = 234488200320.

The previous prime is 447340257191. The next prime is 447340257239. The reversal of 447340257225 is 522752043744.

The square root of 447340257225 is 668835.

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

447340257225 is a `hidden beast` number, since 4 + 4 + 73 + 4 + 0 + 2 + 572 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93091501881 + 354248755344 = 305109^2 + 595188^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 447340257225 - 2²⁵ = 447306702793 is a prime.

It is a super-2 number, since 2×447340257225² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2678684092 + ... + 2678684258.

Almost surely, 2^447340257225 is an apocalyptic number.

447340257225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

447340257225 is the 668835-th square number.

447340257225 is the 334418-th centered octagonal number.

It is an amenable number.

447340257225 is a deficient number, since it is larger than the sum of its proper divisors (395751858652).

447340257225 is an frugal number, since it uses more digits than its factorization.

447340257225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 45.

The spelling of 447340257225 in words is "four hundred forty-seven billion, three hundred forty million, two hundred fifty-seven thousand, two hundred twenty-five".