900259200 has 144 divisors (see below), whose sum is σ = 3212433900. Its totient is φ = 240061440.

The previous prime is 900259193. The next prime is 900259207. The reversal of 900259200 is 2952009.

It is an interprime number because it is at equal distance from previous prime (900259193) and next prime (900259207).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900259207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13171 + ... + 44429.

Almost surely, 2^900259200 is an apocalyptic number.

900259200 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 900259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606216950).

900259200 is an abundant number, since it is smaller than the sum of its proper divisors (2312174700).

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

900259200 is a wasteful number, since it uses less digits than its factorization.

900259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31289 (or 31269 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 900259200 is about 30004.3196890048. The cubic root of 900259200 is about 965.5820626900.

It can be divided in two parts, 90025 and 9200, that added together give a square (99225 = 315²).

The spelling of 900259200 in words is "nine hundred million, two hundred fifty-nine thousand, two hundred".