289850240 has 64 divisors (see below), whose sum is σ = 699809760. Its totient is φ = 114788352.

The previous prime is 289850233. The next prime is 289850243. The reversal of 289850240 is 42058982.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 289850194 and 289850203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289850243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63722 + ... + 68118.

Almost surely, 2^289850240 is an apocalyptic number.

289850240 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 289850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349904880).

289850240 is an abundant number, since it is smaller than the sum of its proper divisors (409959520).

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

289850240 is a wasteful number, since it uses less digits than its factorization.

289850240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 289850240 is about 17024.9886930946. The cubic root of 289850240 is about 661.7966352633.

The spelling of 289850240 in words is "two hundred eighty-nine million, eight hundred fifty thousand, two hundred forty".