289094900 has 18 divisors (see below), whose sum is σ = 627336150. Its totient is φ = 115637920.

The previous prime is 289094863. The next prime is 289094903. The reversal of 289094900 is 9490982.

It can be written as a sum of positive squares in 3 ways, for example, as 26896 + 289068004 = 164^2 + 17002^2 .

It is a super-2 number, since 2×289094900² = 167151722412020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289094903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1445375 + ... + 1445574.

Almost surely, 2^289094900 is an apocalyptic number.

289094900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289094900 is an abundant number, since it is smaller than the sum of its proper divisors (338241250).

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

289094900 is a wasteful number, since it uses less digits than its factorization.

289094900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890963 (or 2890956 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 289094900 is about 17002.7909473710. The cubic root of 289094900 is about 661.2212618969.

The spelling of 289094900 in words is "two hundred eighty-nine million, ninety-four thousand, nine hundred".