900250200 has 240 divisors, whose sum is σ = 3181448160. Its totient is φ = 235872000.

The previous prime is 900250189. The next prime is 900250201. The reversal of 900250200 is 2052009.

900250200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900250201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 987745 + ... + 988655.

It is an arithmetic number, because the mean of its divisors is an integer number (13256034).

Almost surely, 2^900250200 is an apocalyptic number.

900250200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590724080).

900250200 is an abundant number, since it is smaller than the sum of its proper divisors (2281197960).

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

900250200 is a wasteful number, since it uses less digits than its factorization.

900250200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 900250200 is about 30004.1697102253. The cubic root of 900250200 is about 965.5788449991.

The spelling of 900250200 in words is "nine hundred million, two hundred fifty thousand, two hundred".