288449340 has 96 divisors (see below), whose sum is σ = 830269440. Its totient is φ = 74789376.

The previous prime is 288449333. The next prime is 288449363. The reversal of 288449340 is 43944882.

It is a junction number, because it is equal to n+sod(n) for n = 288449292 and 288449301.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 656841 + ... + 657279.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2^288449340 is an apocalyptic number.

288449340 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 288449340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415134720).

288449340 is an abundant number, since it is smaller than the sum of its proper divisors (541820100).

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

288449340 is a wasteful number, since it uses less digits than its factorization.

288449340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 288449340 is about 16983.7963953882. The cubic root of 288449340 is about 660.7287176116.

The spelling of 288449340 in words is "two hundred eighty-eight million, four hundred forty-nine thousand, three hundred forty".