289238400 has 432 divisors, whose sum is σ = 1148090580. Its totient is φ = 69273600.

The previous prime is 289238399. The next prime is 289238407. The reversal of 289238400 is 4832982.

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 (289238407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3484759 + ... + 3484841.

Almost surely, 2^289238400 is an apocalyptic number.

289238400 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 289238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574045290).

289238400 is an abundant number, since it is smaller than the sum of its proper divisors (858852180).

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

289238400 is a wasteful number, since it uses less digits than its factorization.

289238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 289238400 is about 17007.0103192772. The cubic root of 289238400 is about 661.3306487635.

The spelling of 289238400 in words is "two hundred eighty-nine million, two hundred thirty-eight thousand, four hundred".