288348480 has 168 divisors, whose sum is σ = 1133563392. Its totient is φ = 65903616.

The previous prime is 288348469. The next prime is 288348523. The reversal of 288348480 is 84843882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

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 23 ways as a sum of consecutive naturals, for example, 13009 + ... + 27311.

Almost surely, 2^288348480 is an apocalyptic number.

288348480 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 288348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566781696).

288348480 is an abundant number, since it is smaller than the sum of its proper divisors (845214912).

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

288348480 is a wasteful number, since it uses less digits than its factorization.

288348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14333 (or 14320 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 288348480 is about 16980.8268349925. The cubic root of 288348480 is about 660.6516978858.

The spelling of 288348480 in words is "two hundred eighty-eight million, three hundred forty-eight thousand, four hundred eighty".