288382401 has 6 divisors (see below), whose sum is σ = 416552370. Its totient is φ = 192254928.

The previous prime is 288382321. The next prime is 288382411. The reversal of 288382401 is 104283882.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 288320400 + 62001 = 16980^2 + 249^2 .

It is not a de Polignac number, because 288382401 - 2⁷ = 288382273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (288382411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16021236 + ... + 16021253.

It is an arithmetic number, because the mean of its divisors is an integer number (69425395).

Almost surely, 2^288382401 is an apocalyptic number.

It is an amenable number.

288382401 is a deficient number, since it is larger than the sum of its proper divisors (128169969).

288382401 is a wasteful number, since it uses less digits than its factorization.

288382401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32042495 (or 32042492 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 288382401 is about 16981.8256085734. The cubic root of 288382401 is about 660.6776029845.

The spelling of 288382401 in words is "two hundred eighty-eight million, three hundred eighty-two thousand, four hundred one".