289380000 has 480 divisors, whose sum is σ = 1190318976. Its totient is φ = 59904000.

The previous prime is 289379999. The next prime is 289380023. The reversal of 289380000 is 83982.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a self number, because there is not a number n which added to its sum of digits gives 289380000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5459974 + ... + 5460026.

Almost surely, 2^289380000 is an apocalyptic number.

289380000 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 289380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595159488).

289380000 is an abundant number, since it is smaller than the sum of its proper divisors (900938976).

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

289380000 is a wasteful number, since it uses less digits than its factorization.

289380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 289380000 is about 17011.1727990753. The cubic root of 289380000 is about 661.4385518433.

The spelling of 289380000 in words is "two hundred eighty-nine million, three hundred eighty thousand".