289103904 has 156 divisors (see below), whose sum is σ = 903980574. Its totient is φ = 90699264.

The previous prime is 289103891. The next prime is 289103911. The reversal of 289103904 is 409301982.

It can be written as a sum of positive squares in only one way, i.e., 212576400 + 76527504 = 14580^2 + 8748^2 .

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

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 17006104 + ... + 17006120.

Almost surely, 2^289103904 is an apocalyptic number.

289103904 is a gapful number since it is divisible by the number (24) 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 289103904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451990287).

289103904 is an abundant number, since it is smaller than the sum of its proper divisors (614876670).

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

289103904 is an frugal number, since it uses more digits than its factorization.

289103904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 289103904 is about 17003.0557253689. The cubic root of 289103904 is about 661.2281265106.

The spelling of 289103904 in words is "two hundred eighty-nine million, one hundred three thousand, nine hundred four".