288264960 has 288 divisors, whose sum is σ = 1079232000. Its totient is φ = 72658944.

The previous prime is 288264943. The next prime is 288264961. The reversal of 288264960 is 69462882.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288264961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656421 + ... + 656859.

Almost surely, 2^288264960 is an apocalyptic number.

288264960 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 288264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539616000).

288264960 is an abundant number, since it is smaller than the sum of its proper divisors (790967040).

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

288264960 is a wasteful number, since it uses less digits than its factorization.

288264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 288264960 is about 16978.3674126814. The cubic root of 288264960 is about 660.5879059097.

The spelling of 288264960 in words is "two hundred eighty-eight million, two hundred sixty-four thousand, nine hundred sixty".