288961401 has 16 divisors (see below), whose sum is σ = 389036480. Its totient is φ = 190771200.

The previous prime is 288961319. The next prime is 288961403. The reversal of 288961401 is 104169882.

It is not a de Polignac number, because 288961401 - 2²² = 284767097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 288961401.

It is not an unprimeable number, because it can be changed into a prime (288961403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250041 + ... + 251193.

It is an arithmetic number, because the mean of its divisors is an integer number (24314780).

Almost surely, 2^288961401 is an apocalyptic number.

It is an amenable number.

288961401 is a deficient number, since it is larger than the sum of its proper divisors (100075079).

288961401 is a wasteful number, since it uses less digits than its factorization.

288961401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896.

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 288961401 is about 16998.8646973849. The cubic root of 288961401 is about 661.1194660641.

The spelling of 288961401 in words is "two hundred eighty-eight million, nine hundred sixty-one thousand, four hundred one".