900060000 has 240 divisors, whose sum is σ = 3375719424. Its totient is φ = 205632000.

The previous prime is 900059999. The next prime is 900060013. The reversal of 900060000 is 60009.

900060000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 30001²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 418929 + ... + 421071.

Almost surely, 2^900060000 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 900060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687859712).

900060000 is an abundant number, since it is smaller than the sum of its proper divisors (2475659424).

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

900060000 is a wasteful number, since it uses less digits than its factorization.

900060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 900060000 is about 30000.9999833339. Note that the first 4 decimals coincide. The cubic root of 900060000 is about 965.5108394485.

The spelling of 900060000 in words is "nine hundred million, sixty thousand".