900245200 has 120 divisors (see below), whose sum is σ = 2346646680. Its totient is φ = 330547200.

The previous prime is 900245197. The next prime is 900245207. The reversal of 900245200 is 2542009.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 437479056 + 462766144 = 20916^2 + 21512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900245207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277186 + ... + 280414.

It is an arithmetic number, because the mean of its divisors is an integer number (19555389).

Almost surely, 2^900245200 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 900245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173323340).

900245200 is an abundant number, since it is smaller than the sum of its proper divisors (1446401480).

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

900245200 is a wasteful number, since it uses less digits than its factorization.

900245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 900245200 is about 30004.0863883572. The cubic root of 900245200 is about 965.5770573838.

Adding to 900245200 its reverse (2542009), we get a palindrome (902787209).

The spelling of 900245200 in words is "nine hundred million, two hundred forty-five thousand, two hundred".