289145472 has 288 divisors, whose sum is σ = 989775360. Its totient is φ = 74511360.

The previous prime is 289145471. The next prime is 289145473. The reversal of 289145472 is 274541982.

It is an interprime number because it is at equal distance from previous prime (289145471) and next prime (289145473).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (161280) is a multiple of the sum of its prime factors (180).

It is not an unprimeable number, because it can be changed into a prime (289145471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2276673 + ... + 2276799.

It is an arithmetic number, because the mean of its divisors is an integer number (3436720).

Almost surely, 2^289145472 is an apocalyptic number.

289145472 is a gapful number since it is divisible by the number (22) 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 289145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494887680).

289145472 is an abundant number, since it is smaller than the sum of its proper divisors (700629888).

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

289145472 is a wasteful number, since it uses less digits than its factorization.

289145472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 289145472 is about 17004.2780499497. The cubic root of 289145472 is about 661.2598159403.

The spelling of 289145472 in words is "two hundred eighty-nine million, one hundred forty-five thousand, four hundred seventy-two".