446688225 has 27 divisors (see below), whose sum is σ = 800636473. Its totient is φ = 238064640.

The previous prime is 446688223. The next prime is 446688227. The reversal of 446688225 is 522886644.

The square root of 446688225 is 21135.

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

It is an interprime number because it is at equal distance from previous prime (446688223) and next prime (446688227).

It can be written as a sum of positive squares in 4 ways, for example, as 236206161 + 210482064 = 15369^2 + 14508^2 .

It is not a de Polignac number, because 446688225 - 2¹ = 446688223 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 not an unprimeable number, because it can be changed into a prime (446688223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 316321 + ... + 317729.

Almost surely, 2^446688225 is an apocalyptic number.

446688225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

446688225 is the 21135-th square number.

446688225 is the 10568-th centered octagonal number.

It is an amenable number.

446688225 is a deficient number, since it is larger than the sum of its proper divisors (353948248).

446688225 is an equidigital number, since it uses as much as digits as its factorization.

446688225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 1417 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The cubic root of 446688225 is about 764.4249170187.

The spelling of 446688225 in words is "four hundred forty-six million, six hundred eighty-eight thousand, two hundred twenty-five".