288798480 has 320 divisors, whose sum is σ = 1085644800. Its totient is φ = 70295040.

The previous prime is 288798473. The next prime is 288798481. The reversal of 288798480 is 84897882.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (288798481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1272127 + ... + 1272353.

It is an arithmetic number, because the mean of its divisors is an integer number (3392640).

Almost surely, 2^288798480 is an apocalyptic number.

288798480 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 288798480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542822400).

288798480 is an abundant number, since it is smaller than the sum of its proper divisors (796846320).

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

288798480 is a wasteful number, since it uses less digits than its factorization.

288798480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 288798480 is about 16994.0719075800. The cubic root of 288798480 is about 660.9951928413.

The spelling of 288798480 in words is "two hundred eighty-eight million, seven hundred ninety-eight thousand, four hundred eighty".