289850400 has 504 divisors, whose sum is σ = 1229546304. Its totient is φ = 65318400.

The previous prime is 289850399. The next prime is 289850423. The reversal of 289850400 is 4058982.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4082365 + ... + 4082435.

It is an arithmetic number, because the mean of its divisors is an integer number (2439576).

Almost surely, 2^289850400 is an apocalyptic number.

289850400 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 289850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614773152).

289850400 is an abundant number, since it is smaller than the sum of its proper divisors (939695904).

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

289850400 is an equidigital number, since it uses as much as digits as its factorization.

289850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 289850400 is about 17024.9933920692. The cubic root of 289850400 is about 661.7967570359.

The spelling of 289850400 in words is "two hundred eighty-nine million, eight hundred fifty thousand, four hundred".