288744480 has 192 divisors, whose sum is σ = 1023321600. Its totient is φ = 76032000.

The previous prime is 288744479. The next prime is 288744481. The reversal of 288744480 is 84447882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (288744479) and next prime (288744481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (288744481) 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, 384105 + ... + 384855.

It is an arithmetic number, because the mean of its divisors is an integer number (5329800).

Almost surely, 2^288744480 is an apocalyptic number.

288744480 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 288744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511660800).

288744480 is an abundant number, since it is smaller than the sum of its proper divisors (734577120).

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

288744480 is a wasteful number, since it uses less digits than its factorization.

288744480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 288744480 is about 16992.4830439815. The cubic root of 288744480 is about 660.9539922951.

The spelling of 288744480 in words is "two hundred eighty-eight million, seven hundred forty-four thousand, four hundred eighty".