288944641 has 8 divisors (see below), whose sum is σ = 292545000. Its totient is φ = 285352320.

The previous prime is 288944627. The next prime is 288944657. The reversal of 288944641 is 146449882.

It can be written as a sum of positive squares in 4 ways, for example, as 18671041 + 270273600 = 4321^2 + 16440^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 288944641 - 2¹³ = 288936449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 288944591 and 288944600.

It is not an unprimeable number, because it can be changed into a prime (288944611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103735 + ... + 106483.

It is an arithmetic number, because the mean of its divisors is an integer number (36568125).

Almost surely, 2^288944641 is an apocalyptic number.

It is an amenable number.

288944641 is a deficient number, since it is larger than the sum of its proper divisors (3600359).

288944641 is a wasteful number, since it uses less digits than its factorization.

288944641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019.

The product of its digits is 442368, while the sum is 46.

The square root of 288944641 is about 16998.3717161380. The cubic root of 288944641 is about 661.1066839919.

The spelling of 288944641 in words is "two hundred eighty-eight million, nine hundred forty-four thousand, six hundred forty-one".