289222560 has 432 divisors, whose sum is σ = 1171104480. Its totient is φ = 64281600.

The previous prime is 289222523. The next prime is 289222573. The reversal of 289222560 is 65222982.

289222560 is a `hidden beast` number, since 2 + 8 + 92 + 2 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9329745 + ... + 9329775.

It is an arithmetic number, because the mean of its divisors is an integer number (2710890).

Almost surely, 2^289222560 is an apocalyptic number.

289222560 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 289222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585552240).

289222560 is an abundant number, since it is smaller than the sum of its proper divisors (881881920).

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

289222560 is a wasteful number, since it uses less digits than its factorization.

289222560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 289222560 is about 17006.5446225857. The cubic root of 289222560 is about 661.3185760596.

It can be divided in two parts, 2892 and 22560, that added together give a palindrome (25452).

The spelling of 289222560 in words is "two hundred eighty-nine million, two hundred twenty-two thousand, five hundred sixty".