289481472 has 288 divisors, whose sum is σ = 1015132160. Its totient is φ = 79626240.

The previous prime is 289481471. The next prime is 289481483. The reversal of 289481472 is 274184982.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (258048) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289481471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499808 + ... + 1500000.

Almost surely, 2^289481472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507566080).

289481472 is an abundant number, since it is smaller than the sum of its proper divisors (725650688).

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

289481472 is a wasteful number, since it uses less digits than its factorization.

289481472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 289481472 is about 17014.1550480769. The cubic root of 289481472 is about 661.5158546393.

The spelling of 289481472 in words is "two hundred eighty-nine million, four hundred eighty-one thousand, four hundred seventy-two".