289219920 has 160 divisors (see below), whose sum is σ = 992507904. Its totient is φ = 69081600.

The previous prime is 289219897. The next prime is 289219921. The reversal of 289219920 is 29912982.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289219921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186669 + ... + 188211.

Almost surely, 2^289219920 is an apocalyptic number.

289219920 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 289219920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496253952).

289219920 is an abundant number, since it is smaller than the sum of its proper divisors (703287984).

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

289219920 is a wasteful number, since it uses less digits than its factorization.

289219920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 289219920 is about 17006.4670052307. The cubic root of 289219920 is about 661.3165638994.

The spelling of 289219920 in words is "two hundred eighty-nine million, two hundred nineteen thousand, nine hundred twenty".