289898400 has 288 divisors, whose sum is σ = 1049932800. Its totient is φ = 68889600.

The previous prime is 289898383. The next prime is 289898419. The reversal of 289898400 is 4898982.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 289898400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2085531 + ... + 2085669.

It is an arithmetic number, because the mean of its divisors is an integer number (3645600).

Almost surely, 2^289898400 is an apocalyptic number.

289898400 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 289898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524966400).

289898400 is an abundant number, since it is smaller than the sum of its proper divisors (760034400).

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

289898400 is a wasteful number, since it uses less digits than its factorization.

289898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 289898400 is about 17026.4030258889. The cubic root of 289898400 is about 661.8332867894.

289898400 divided by its sum of digits (48) gives a triangular number (6039550 = T₃₄₇₅).

The spelling of 289898400 in words is "two hundred eighty-nine million, eight hundred ninety-eight thousand, four hundred".