289214000 has 80 divisors (see below), whose sum is σ = 716579136. Its totient is φ = 112832000.

The previous prime is 289213963. The next prime is 289214017. The reversal of 289214000 is 412982.

289214000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80237 + ... + 83763.

Almost surely, 2^289214000 is an apocalyptic number.

289214000 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 289214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358289568).

289214000 is an abundant number, since it is smaller than the sum of its proper divisors (427365136).

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

289214000 is a wasteful number, since it uses less digits than its factorization.

289214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 289214000 is about 17006.2929529042. The cubic root of 289214000 is about 661.3120517381.

Adding to 289214000 its reverse (412982), we get a palindrome (289626982).

The spelling of 289214000 in words is "two hundred eighty-nine million, two hundred fourteen thousand".