289967040 has 392 divisors, whose sum is σ = 1139360688. Its totient is φ = 69672960.

The previous prime is 289967021. The next prime is 289967077. The reversal of 289967040 is 40769982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2566024 + ... + 2566136.

Almost surely, 2^289967040 is an apocalyptic number.

289967040 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 289967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569680344).

289967040 is an abundant number, since it is smaller than the sum of its proper divisors (849393648).

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

289967040 is a wasteful number, since it uses less digits than its factorization.

289967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 289967040 is about 17028.4185995059. The cubic root of 289967040 is about 661.8855173316.

The spelling of 289967040 in words is "two hundred eighty-nine million, nine hundred sixty-seven thousand, forty".