900265600 has 384 divisors, whose sum is σ = 2709201600. Its totient is φ = 291962880.

The previous prime is 900265571. The next prime is 900265627. The reversal of 900265600 is 6562009.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13436767 + ... + 13436833.

Almost surely, 2^900265600 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 900265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354600800).

900265600 is an abundant number, since it is smaller than the sum of its proper divisors (1808936000).

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

900265600 is a wasteful number, since it uses less digits than its factorization.

900265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 900265600 is about 30004.4263401252. The cubic root of 900265600 is about 965.5843508127.

The spelling of 900265600 in words is "nine hundred million, two hundred sixty-five thousand, six hundred".