289474560 has 240 divisors, whose sum is σ = 1040539500. Its totient is φ = 76972032.

The previous prime is 289474517. The next prime is 289474583. The reversal of 289474560 is 65474982.

It is a happy number.

289474560 is a `hidden beast` number, since 2 + 89 + 4 + 7 + 4 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 288728064 + 746496 = 16992^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829266 + ... + 829614.

Almost surely, 2^289474560 is an apocalyptic number.

289474560 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 289474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520269750).

289474560 is an abundant number, since it is smaller than the sum of its proper divisors (751064940).

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

289474560 is an equidigital number, since it uses as much as digits as its factorization.

289474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 289474560 is about 17013.9519218787. The cubic root of 289474560 is about 661.5105895539.

The spelling of 289474560 in words is "two hundred eighty-nine million, four hundred seventy-four thousand, five hundred sixty".