304687440225 has 135 divisors (see below), whose sum is σ = 637494880659. Its totient is φ = 139100220000.

The previous prime is 304687440203. The next prime is 304687440257. The reversal of 304687440225 is 522044786403.

It is a happy number.

The square root of 304687440225 is 551985.

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

304687440225 is a `hidden beast` number, since 304 + 6 + 87 + 4 + 40 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109687478481 + 194999961744 = 331191^2 + 441588^2 .

It is not a de Polignac number, because 304687440225 - 2²³ = 304679051617 is a prime.

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

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 405708600 + ... + 405709350.

Almost surely, 2^304687440225 is an apocalyptic number.

304687440225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

304687440225 is the 551985-th square number.

304687440225 is the 275993-rd centered octagonal number.

It is an amenable number.

304687440225 is an abundant number, since it is smaller than the sum of its proper divisors (332807440434).

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

304687440225 is an frugal number, since it uses more digits than its factorization.

304687440225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 304687440225 in words is "three hundred four billion, six hundred eighty-seven million, four hundred forty thousand, two hundred twenty-five".