289016400 has 120 divisors (see below), whose sum is σ = 930770784. Its totient is φ = 76659200.

The previous prime is 289016393. The next prime is 289016401. The reversal of 289016400 is 4610982.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289016401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271870 + ... + 272930.

Almost surely, 2^289016400 is an apocalyptic number.

289016400 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 289016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465385392).

289016400 is an abundant number, since it is smaller than the sum of its proper divisors (641754384).

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

289016400 is a wasteful number, since it uses less digits than its factorization.

289016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 289016400 is about 17000.4823460983. The cubic root of 289016400 is about 661.1614077707.

The spelling of 289016400 in words is "two hundred eighty-nine million, sixteen thousand, four hundred".