288276480 has 360 divisors, whose sum is σ = 1104116832. Its totient is φ = 69206016.

The previous prime is 288276479. The next prime is 288276481. The reversal of 288276480 is 84672882.

It is a happy number.

288276480 is a `hidden beast` number, since 28 + 82 + 76 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (288276479) and next prime (288276481).

It is a tau number, because it is divible by the number of its divisors (360).

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 (288276481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12533749 + ... + 12533771.

Almost surely, 2^288276480 is an apocalyptic number.

288276480 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 288276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552058416).

288276480 is an abundant number, since it is smaller than the sum of its proper divisors (815840352).

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

288276480 is a wasteful number, since it uses less digits than its factorization.

288276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 288276480 is about 16978.7066645254. The cubic root of 288276480 is about 660.5967055354.

The spelling of 288276480 in words is "two hundred eighty-eight million, two hundred seventy-six thousand, four hundred eighty".