289216944 has 120 divisors (see below), whose sum is σ = 835041792. Its totient is φ = 93398400.

The previous prime is 289216943. The next prime is 289216969. The reversal of 289216944 is 449612982.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

Its product of digits (248832) is a multiple of the sum of its prime divisors (486).

It is a self number, because there is not a number n which added to its sum of digits gives 289216944.

It is not an unprimeable number, because it can be changed into a prime (289216943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021827 + ... + 1022109.

Almost surely, 2^289216944 is an apocalyptic number.

289216944 is a gapful number since it is divisible by the number (24) 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 289216944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417520896).

289216944 is an abundant number, since it is smaller than the sum of its proper divisors (545824848).

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

289216944 is a wasteful number, since it uses less digits than its factorization.

289216944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 289216944 is about 17006.3795088784. The cubic root of 289216944 is about 661.3142956314.

The spelling of 289216944 in words is "two hundred eighty-nine million, two hundred sixteen thousand, nine hundred forty-four".