288012465 has 48 divisors (see below), whose sum is σ = 540186192. Its totient is φ = 141115392.

The previous prime is 288012401. The next prime is 288012467. The reversal of 288012465 is 564210882.

It can be written as a sum of positive squares in 8 ways, for example, as 148937616 + 139074849 = 12204^2 + 11793^2 .

It is not a de Polignac number, because 288012465 - 2⁶ = 288012401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (288012467) 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 47 ways as a sum of consecutive naturals, for example, 135249 + ... + 137361.

It is an arithmetic number, because the mean of its divisors is an integer number (11253879).

Almost surely, 2^288012465 is an apocalyptic number.

It is an amenable number.

288012465 is a deficient number, since it is larger than the sum of its proper divisors (252173727).

288012465 is a wasteful number, since it uses less digits than its factorization.

288012465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 288012465 is about 16970.9299980879. The cubic root of 288012465 is about 660.3949770774.

The spelling of 288012465 in words is "two hundred eighty-eight million, twelve thousand, four hundred sixty-five".