289121600 has 42 divisors (see below), whose sum is σ = 711423774. Its totient is φ = 115648000.

The previous prime is 289121563. The next prime is 289121603. The reversal of 289121600 is 6121982.

It can be written as a sum of positive squares in 3 ways, for example, as 937024 + 288184576 = 968^2 + 16976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289121603) 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, 88751 + ... + 91950.

Almost surely, 2^289121600 is an apocalyptic number.

289121600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289121600 is an abundant number, since it is smaller than the sum of its proper divisors (422302174).

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

289121600 is a wasteful number, since it uses less digits than its factorization.

289121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180723 (or 180708 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 289121600 is about 17003.5760944573. The cubic root of 289121600 is about 661.2416174551.

The spelling of 289121600 in words is "two hundred eighty-nine million, one hundred twenty-one thousand, six hundred".