288461601 has 8 divisors (see below), whose sum is σ = 427350560. Its totient is φ = 192307716.

The previous prime is 288461581. The next prime is 288461611. The reversal of 288461601 is 106164882.

288461601 is a `hidden beast` number, since 2 + 8 + 8 + 46 + 1 + 601 = 666.

288461601 is nontrivially palindromic in base 5.

It is not a de Polignac number, because 288461601 - 2⁷ = 288461473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288461611) 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, 5341855 + ... + 5341908.

It is an arithmetic number, because the mean of its divisors is an integer number (53418820).

Almost surely, 2^288461601 is an apocalyptic number.

It is an amenable number.

288461601 is a deficient number, since it is larger than the sum of its proper divisors (138888959).

288461601 is a wasteful number, since it uses less digits than its factorization.

288461601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10683772 (or 10683766 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 288461601 is about 16984.1573532513. The cubic root of 288461601 is about 660.7380792556.

The spelling of 288461601 in words is "two hundred eighty-eight million, four hundred sixty-one thousand, six hundred one".