287806401 has 24 divisors (see below), whose sum is σ = 426142080. Its totient is φ = 187121376.

The previous prime is 287806397. The next prime is 287806487. The reversal of 287806401 is 104608782.

287806401 is a `hidden beast` number, since 2 + 8 + 7 + 8 + 0 + 640 + 1 = 666.

It is not a de Polignac number, because 287806401 - 2² = 287806397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (287806301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56575 + ... + 61451.

It is an arithmetic number, because the mean of its divisors is an integer number (17755920).

Almost surely, 2^287806401 is an apocalyptic number.

It is an amenable number.

287806401 is a deficient number, since it is larger than the sum of its proper divisors (138335679).

287806401 is a wasteful number, since it uses less digits than its factorization.

287806401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 287806401 is about 16964.8578243379. The cubic root of 287806401 is about 660.2374421156.

The spelling of 287806401 in words is "two hundred eighty-seven million, eight hundred six thousand, four hundred one".