9250000900 has 144 divisors (see below), whose sum is σ = 24855659136. Its totient is φ = 2915297280.

The previous prime is 9250000853. The next prime is 9250000933. The reversal of 9250000900 is 90000529.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 502662 + ... + 520738.

It is an arithmetic number, because the mean of its divisors is an integer number (172608744).

Almost surely, 2^9250000900 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 9250000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12427829568).

9250000900 is an abundant number, since it is smaller than the sum of its proper divisors (15605658236).

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

9250000900 is a wasteful number, since it uses less digits than its factorization.

9250000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18158 (or 18151 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 9250000900 is about 96176.9249872338. The cubic root of 9250000900 is about 2099.1682949853.

The spelling of 9250000900 in words is "nine billion, two hundred fifty million, nine hundred", and thus it is an aban number.