289984980 has 96 divisors (see below), whose sum is σ = 868081536. Its totient is φ = 72073216.

The previous prime is 289984969. The next prime is 289984993. The reversal of 289984980 is 89489982.

289984980 = 1300² + 1301² + ... + 1452².

It is a self number, because there is not a number n which added to its sum of digits gives 289984980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107812 + ... + 110468.

It is an arithmetic number, because the mean of its divisors is an integer number (9042516).

Almost surely, 2^289984980 is an apocalyptic number.

289984980 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 289984980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434040768).

289984980 is an abundant number, since it is smaller than the sum of its proper divisors (578096556).

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

289984980 is a wasteful number, since it uses less digits than its factorization.

289984980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The square root of 289984980 is about 17028.9453578312. The cubic root of 289984980 is about 661.8991671374.

The spelling of 289984980 in words is "two hundred eighty-nine million, nine hundred eighty-four thousand, nine hundred eighty".