288490225 has 27 divisors (see below), whose sum is σ = 370935243. Its totient is φ = 222571440.

The previous prime is 288490211. The next prime is 288490249. The reversal of 288490225 is 522094882.

It is a happy number.

The square root of 288490225 is 16985.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 103856481 + 184633744 = 10191^2 + 13588^2 .

It is not a de Polignac number, because 288490225 - 2⁵ = 288490193 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3651736 + ... + 3651814.

Almost surely, 2^288490225 is an apocalyptic number.

288490225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

288490225 is the 16985-th square number.

288490225 is the 8493-rd centered octagonal number.

It is an amenable number.

288490225 is a deficient number, since it is larger than the sum of its proper divisors (82445018).

288490225 is an frugal number, since it uses more digits than its factorization.

288490225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The cubic root of 288490225 is about 660.7599335118.

The spelling of 288490225 in words is "two hundred eighty-eight million, four hundred ninety thousand, two hundred twenty-five".