305888225 has 24 divisors (see below), whose sum is σ = 403467480. Its totient is φ = 229253120.

The previous prime is 305888207. The next prime is 305888227. The reversal of 305888225 is 522888503.

It can be written as a sum of positive squares in 12 ways, for example, as 26296384 + 279591841 = 5128^2 + 16721^2 .

It is not a de Polignac number, because 305888225 - 2¹⁰ = 305887201 is a prime.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (305888227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97481 + ... + 100569.

It is an arithmetic number, because the mean of its divisors is an integer number (16811145).

Almost surely, 2^305888225 is an apocalyptic number.

It is an amenable number.

305888225 is a deficient number, since it is larger than the sum of its proper divisors (97579255).

305888225 is a wasteful number, since it uses less digits than its factorization.

305888225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 305888225 is about 17489.6605170026. The cubic root of 305888225 is about 673.7843506133.

The spelling of 305888225 in words is "three hundred five million, eight hundred eighty-eight thousand, two hundred twenty-five".