289050240 has 128 divisors (see below), whose sum is σ = 928379520. Its totient is φ = 76492800.

The previous prime is 289050217. The next prime is 289050283. The reversal of 289050240 is 42050982.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 289050198 and 289050207.

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 15 ways as a sum of consecutive naturals, for example, 289422 + ... + 290418.

It is an arithmetic number, because the mean of its divisors is an integer number (7252965).

Almost surely, 2^289050240 is an apocalyptic number.

289050240 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 289050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464189760).

289050240 is an abundant number, since it is smaller than the sum of its proper divisors (639329280).

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

289050240 is a wasteful number, since it uses less digits than its factorization.

289050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 289050240 is about 17001.4775828456. The cubic root of 289050240 is about 661.1872111840.

The spelling of 289050240 in words is "two hundred eighty-nine million, fifty thousand, two hundred forty".