289068400 has 60 divisors (see below), whose sum is σ = 699062152. Its totient is φ = 114865920.

The previous prime is 289068371. The next prime is 289068401. The reversal of 289068400 is 4860982.

It is a self number, because there is not a number n which added to its sum of digits gives 289068400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289068401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60499 + ... + 65101.

Almost surely, 2^289068400 is an apocalyptic number.

289068400 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 289068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349531076).

289068400 is an abundant number, since it is smaller than the sum of its proper divisors (409993752).

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

289068400 is a wasteful number, since it uses less digits than its factorization.

289068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4778 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 289068400 is about 17002.0116456848. The cubic root of 289068400 is about 661.2010575755.

The spelling of 289068400 in words is "two hundred eighty-nine million, sixty-eight thousand, four hundred".