289006400 has 42 divisors (see below), whose sum is σ = 711140310. Its totient is φ = 115601920.

The previous prime is 289006387. The next prime is 289006429. The reversal of 289006400 is 4600982.

It can be written as a sum of positive squares in 3 ways, for example, as 102738496 + 186267904 = 10136^2 + 13648^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88715 + ... + 91914.

Almost surely, 2^289006400 is an apocalyptic number.

289006400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289006400 is an abundant number, since it is smaller than the sum of its proper divisors (422133910).

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

289006400 is a wasteful number, since it uses less digits than its factorization.

289006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180651 (or 180636 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 289006400 is about 17000.1882342520. The cubic root of 289006400 is about 661.1537822630.

It can be divided in two parts, 28900 and 6400, that multiplied together give a square (184960000 = 13600²).

The spelling of 289006400 in words is "two hundred eighty-nine million, six thousand, four hundred".