289401336 has 256 divisors, whose sum is σ = 991872000. Its totient is φ = 77262336.

The previous prime is 289401323. The next prime is 289401347. The reversal of 289401336 is 633104982.

289401336 is a `hidden beast` number, since 289 + 40 + 1 + 336 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 289401336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2081955 + ... + 2082093.

It is an arithmetic number, because the mean of its divisors is an integer number (3874500).

Almost surely, 2^289401336 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 289401336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495936000).

289401336 is an abundant number, since it is smaller than the sum of its proper divisors (702470664).

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

289401336 is a wasteful number, since it uses less digits than its factorization.

289401336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 289401336 is about 17011.7999047720. The cubic root of 289401336 is about 661.4548074082.

It can be divided in two parts, 28940 and 1336, that added together give a square (30276 = 174²).

The spelling of 289401336 in words is "two hundred eighty-nine million, four hundred one thousand, three hundred thirty-six".