289697408 has 384 divisors, whose sum is σ = 879076800. Its totient is φ = 92897280.

The previous prime is 289697399. The next prime is 289697413. The reversal of 289697408 is 804796982.

It is a self number, because there is not a number n which added to its sum of digits gives 289697408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15247223 + ... + 15247241.

Almost surely, 2^289697408 is an apocalyptic number.

289697408 is a gapful number since it is divisible by the number (28) 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 289697408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439538400).

289697408 is an abundant number, since it is smaller than the sum of its proper divisors (589379392).

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

289697408 is a wasteful number, since it uses less digits than its factorization.

289697408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The square root of 289697408 is about 17020.4996401398. The cubic root of 289697408 is about 661.6802976153.

The spelling of 289697408 in words is "two hundred eighty-nine million, six hundred ninety-seven thousand, four hundred eight".