9255940200 has 384 divisors, whose sum is σ = 34789440000. Its totient is φ = 2248197120.

The previous prime is 9255940147. The next prime is 9255940219. The reversal of 9255940200 is 20495529.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5544966 + ... + 5546634.

It is an arithmetic number, because the mean of its divisors is an integer number (90597500).

Almost surely, 2^9255940200 is an apocalyptic number.

9255940200 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 9255940200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17394720000).

9255940200 is an abundant number, since it is smaller than the sum of its proper divisors (25533499800).

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

9255940200 is a wasteful number, since it uses less digits than its factorization.

9255940200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 9255940200 is about 96207.7969813258. The cubic root of 9255940200 is about 2099.6174813482.

The spelling of 9255940200 in words is "nine billion, two hundred fifty-five million, nine hundred forty thousand, two hundred".