289944000 has 168 divisors, whose sum is σ = 1037435568. Its totient is φ = 77299200.

The previous prime is 289943981. The next prime is 289944007. The reversal of 289944000 is 449982.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289944007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69987 + ... + 74013.

Almost surely, 2^289944000 is an apocalyptic number.

289944000 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 289944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518717784).

289944000 is an abundant number, since it is smaller than the sum of its proper divisors (747491568).

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

289944000 is a wasteful number, since it uses less digits than its factorization.

289944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 289944000 is about 17027.7420699281. The cubic root of 289944000 is about 661.8679863205.

The spelling of 289944000 in words is "two hundred eighty-nine million, nine hundred forty-four thousand".