288805440 has 224 divisors, whose sum is σ = 1143512064. Its totient is φ = 59996160.

The previous prime is 288805423. The next prime is 288805441. The reversal of 288805440 is 44508882.

288805440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (288805441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71967 + ... + 75873.

Almost surely, 2^288805440 is an apocalyptic number.

288805440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571756032).

288805440 is an abundant number, since it is smaller than the sum of its proper divisors (854706624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288805440 is a wasteful number, since it uses less digits than its factorization.

288805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 288805440 is about 16994.2766836368. The cubic root of 288805440 is about 661.0005027602. Note that the first 3 decimals are identical.

The spelling of 288805440 in words is "two hundred eighty-eight million, eight hundred five thousand, four hundred forty".