289319040 has 160 divisors (see below), whose sum is σ = 1033395660. Its totient is φ = 77137920.

The previous prime is 289319029. The next prime is 289319053. The reversal of 289319040 is 40913982.

It can be written as a sum of positive squares in 2 ways, for example, as 281434176 + 7884864 = 16776^2 + 2808^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a junction number, because it is equal to n+sod(n) for n = 289318986 and 289319004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49050 + ... + 54630.

Almost surely, 2^289319040 is an apocalyptic number.

289319040 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 289319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516697830).

289319040 is an abundant number, since it is smaller than the sum of its proper divisors (744076620).

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

289319040 is an equidigital number, since it uses as much as digits as its factorization.

289319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 289319040 is about 17009.3809411160. The cubic root of 289319040 is about 661.3921029690.

The spelling of 289319040 in words is "two hundred eighty-nine million, three hundred nineteen thousand, forty".