845332992 has 240 divisors, whose sum is σ = 2834282880. Its totient is φ = 237551616.

The previous prime is 845332991. The next prime is 845332993. The reversal of 845332992 is 299233548.

It is a happy number.

845332992 is a `hidden beast` number, since 8 + 4 + 533 + 29 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (845332991) and next prime (845332993).

It is not an unprimeable number, because it can be changed into a prime (845332991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2354509 + ... + 2354867.

It is an arithmetic number, because the mean of its divisors is an integer number (11809512).

Almost surely, 2^845332992 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 845332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417141440).

845332992 is an abundant number, since it is smaller than the sum of its proper divisors (1988949888).

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

845332992 is a wasteful number, since it uses less digits than its factorization.

845332992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 444 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 845332992 is about 29074.6107798540. The cubic root of 845332992 is about 945.5313648896.

The spelling of 845332992 in words is "eight hundred forty-five million, three hundred thirty-two thousand, nine hundred ninety-two".