288563440 has 80 divisors (see below), whose sum is σ = 774995040. Its totient is φ = 98754560.

The previous prime is 288563419. The next prime is 288563441. The reversal of 288563440 is 44365882.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 288563393 and 288563402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288563441) 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 15 ways as a sum of consecutive naturals, for example, 5316 + ... + 24604.

It is an arithmetic number, because the mean of its divisors is an integer number (9687438).

Almost surely, 2^288563440 is an apocalyptic number.

288563440 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 288563440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387497520).

288563440 is an abundant number, since it is smaller than the sum of its proper divisors (486431600).

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

288563440 is a wasteful number, since it uses less digits than its factorization.

288563440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19330 (or 19324 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 288563440 is about 16987.1551473459. The cubic root of 288563440 is about 660.8158261584.

The spelling of 288563440 in words is "two hundred eighty-eight million, five hundred sixty-three thousand, four hundred forty".