845418000 has 160 divisors (see below), whose sum is σ = 3115157760. Its totient is φ = 193228800.

The previous prime is 845417959. The next prime is 845418001. The reversal of 845418000 is 814548.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (845418001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31936 + ... + 52064.

It is an arithmetic number, because the mean of its divisors is an integer number (19469736).

Almost surely, 2^845418000 is an apocalyptic number.

845418000 is a gapful number since it is divisible by the number (80) 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 845418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557578880).

845418000 is an abundant number, since it is smaller than the sum of its proper divisors (2269739760).

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

845418000 is a wasteful number, since it uses less digits than its factorization.

845418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20162 (or 20146 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 845418000 is about 29076.0726371358. The cubic root of 845418000 is about 945.5630585286.

The spelling of 845418000 in words is "eight hundred forty-five million, four hundred eighteen thousand".