9172850400 has 1152 divisors, whose sum is σ = 41597337600. Its totient is φ = 1903564800.

The previous prime is 9172850399. The next prime is 9172850483. The reversal of 9172850400 is 40582719.

9172850400 is a `hidden beast` number, since 9 + 172 + 85 + 0 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89056749 + ... + 89056851.

It is an arithmetic number, because the mean of its divisors is an integer number (36108800).

Almost surely, 2^9172850400 is an apocalyptic number.

9172850400 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 9172850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20798668800).

9172850400 is an abundant number, since it is smaller than the sum of its proper divisors (32424487200).

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

9172850400 is a wasteful number, since it uses less digits than its factorization.

9172850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 9172850400 is about 95774.9988253720. The cubic root of 9172850400 is about 2093.3158905151.

The spelling of 9172850400 in words is "nine billion, one hundred seventy-two million, eight hundred fifty thousand, four hundred".