304285727641 has 9 divisors (see below), whose sum is σ = 353969521941. Its totient is φ = 260813028252.

The previous prime is 304285727593. The next prime is 304285727651. The reversal of 304285727641 is 146727582403.

The square root of 304285727641 is 551621.

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

It is not a de Polignac number, because 304285727641 - 2²⁵ = 304252173209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (304285727651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3821946 + ... + 3900748.

Almost surely, 2^304285727641 is an apocalyptic number.

304285727641 is the 551621-st square number.

304285727641 is the 275811-st centered octagonal number.

It is an amenable number.

304285727641 is a deficient number, since it is larger than the sum of its proper divisors (49683794300).

304285727641 is an frugal number, since it uses more digits than its factorization.

304285727641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157620 (or 78810 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

Multiplying 304285727641 by its sum of digits (49), we get a square (14910000654409 = 3861347²).

304285727641 divided by its sum of digits (49) gives a square (6209912809 = 78803²).

The spelling of 304285727641 in words is "three hundred four billion, two hundred eighty-five million, seven hundred twenty-seven thousand, six hundred forty-one".