289402272 has 72 divisors (see below), whose sum is σ = 843094980. Its totient is φ = 94110720.

The previous prime is 289402229. The next prime is 289402273. The reversal of 289402272 is 272204982.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 289136016 + 266256 = 17004^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (289402273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447 + ... + 24062.

Almost surely, 2^289402272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421547490).

289402272 is an abundant number, since it is smaller than the sum of its proper divisors (553692708).

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

289402272 is a wasteful number, since it uses less digits than its factorization.

289402272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24566 (or 24555 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 289402272 is about 17011.8274150663. The cubic root of 289402272 is about 661.4555205137.

The spelling of 289402272 in words is "two hundred eighty-nine million, four hundred two thousand, two hundred seventy-two".