447957225 has 81 divisors (see below), whose sum is σ = 862706533. Its totient is φ = 222147840.

The previous prime is 447957217. The next prime is 447957239. The reversal of 447957225 is 522759744.

The square root of 447957225 is 21165.

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

447957225 is a `hidden beast` number, since 4 + 4 + 79 + 572 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10478169 + 437479056 = 3237^2 + 20916^2 .

It is not a de Polignac number, because 447957225 - 2³ = 447957217 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5397034 + ... + 5397116.

Almost surely, 2^447957225 is an apocalyptic number.

447957225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

447957225 is the 21165-th square number.

447957225 is the 10583-rd centered octagonal number.

It is an amenable number.

447957225 is a deficient number, since it is larger than the sum of its proper divisors (414749308).

447957225 is a wasteful number, since it uses less digits than its factorization.

447957225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 108 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The cubic root of 447957225 is about 765.1481194674.

Multiplying 447957225 by its product of digits (705600), we get a square (316078617960000 = 17778600²).

The spelling of 447957225 in words is "four hundred forty-seven million, nine hundred fifty-seven thousand, two hundred twenty-five".