289374400 has 126 divisors (see below), whose sum is σ = 828518028. Its totient is φ = 99187200.

The previous prime is 289374343. The next prime is 289374403. The reversal of 289374400 is 4473982.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 289374400.

It is not an unprimeable number, because it can be changed into a prime (289374403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 76555 + ... + 80245.

Almost surely, 2^289374400 is an apocalyptic number.

289374400 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 289374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414259014).

289374400 is an abundant number, since it is smaller than the sum of its proper divisors (539143628).

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

289374400 is a wasteful number, since it uses less digits than its factorization.

289374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 289374400 is about 17011.0082005741. The cubic root of 289374400 is about 661.4342851585.

The spelling of 289374400 in words is "two hundred eighty-nine million, three hundred seventy-four thousand, four hundred".