288401 has 8 divisors (see below), whose sum is σ = 311520. Its totient is φ = 266112.

The previous prime is 288389. The next prime is 288403. The reversal of 288401 is 104882.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-288401 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288401.

It is not an unprimeable number, because it can be changed into a prime (288403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 641 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (38940).

2²⁸⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

288401 is a deficient number, since it is larger than the sum of its proper divisors (23119).

288401 is a wasteful number, since it uses less digits than its factorization.

288401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415.

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 288401 is about 537.0297943317. The cubic root of 288401 is about 66.0691805976.

The spelling of 288401 in words is "two hundred eighty-eight thousand, four hundred one".