289993200 has 480 divisors, whose sum is σ = 1180876800. Its totient is φ = 59304960.

The previous prime is 289993183. The next prime is 289993211. The reversal of 289993200 is 2399982.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3670761 + ... + 3670839.

It is an arithmetic number, because the mean of its divisors is an integer number (2460160).

Almost surely, 2^289993200 is an apocalyptic number.

289993200 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 289993200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590438400).

289993200 is an abundant number, since it is smaller than the sum of its proper divisors (890883600).

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

289993200 is a wasteful number, since it uses less digits than its factorization.

289993200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 289993200 is about 17029.1867098814. The cubic root of 289993200 is about 661.9054212081.

The spelling of 289993200 in words is "two hundred eighty-nine million, nine hundred ninety-three thousand, two hundred".