845909400 has 384 divisors, whose sum is σ = 3171225600. Its totient is φ = 182476800.

The previous prime is 845909353. The next prime is 845909401. The reversal of 845909400 is 4909548.

845909400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845909401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9504556 + ... + 9504644.

It is an arithmetic number, because the mean of its divisors is an integer number (8258400).

Almost surely, 2^845909400 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 845909400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585612800).

845909400 is an abundant number, since it is smaller than the sum of its proper divisors (2325316200).

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

845909400 is a wasteful number, since it uses less digits than its factorization.

845909400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 845909400 is about 29084.5216567163. The cubic root of 845909400 is about 945.7462261806.

The spelling of 845909400 in words is "eight hundred forty-five million, nine hundred nine thousand, four hundred".