288407880 has 192 divisors, whose sum is σ = 991710720. Its totient is φ = 72576000.

The previous prime is 288407863. The next prime is 288407881. The reversal of 288407880 is 88704882.

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 (288407881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479580 + ... + 480180.

It is an arithmetic number, because the mean of its divisors is an integer number (5165160).

Almost surely, 2^288407880 is an apocalyptic number.

288407880 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 288407880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495855360).

288407880 is an abundant number, since it is smaller than the sum of its proper divisors (703302840).

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

288407880 is a wasteful number, since it uses less digits than its factorization.

288407880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 288407880 is about 16982.5757763656. The cubic root of 288407880 is about 660.6970596838.

The spelling of 288407880 in words is "two hundred eighty-eight million, four hundred seven thousand, eight hundred eighty".