288409856 has 72 divisors (see below), whose sum is σ = 661765440. Its totient is φ = 122886144.

The previous prime is 288409841. The next prime is 288409861. The reversal of 288409856 is 658904882.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406430 + ... + 407138.

Almost surely, 2^288409856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288409856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330882720).

288409856 is an abundant number, since it is smaller than the sum of its proper divisors (373355584).

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

288409856 is an equidigital number, since it uses as much as digits as its factorization.

288409856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 50.

The square root of 288409856 is about 16982.6339535421. The cubic root of 288409856 is about 660.6985685820.

The spelling of 288409856 in words is "two hundred eighty-eight million, four hundred nine thousand, eight hundred fifty-six".