845958456 has 96 divisors (see below), whose sum is σ = 2654427360. Its totient is φ = 238381056.

The previous prime is 845958433. The next prime is 845958457. The reversal of 845958456 is 654859548.

845958456 is a `hidden beast` number, since 8 + 4 + 5 + 9 + 584 + 56 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845958457) 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, 25296 + ... + 48288.

It is an arithmetic number, because the mean of its divisors is an integer number (27650285).

Almost surely, 2^845958456 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 845958456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327213680).

845958456 is an abundant number, since it is smaller than the sum of its proper divisors (1808468904).

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

845958456 is a wasteful number, since it uses less digits than its factorization.

845958456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23085 (or 23078 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The square root of 845958456 is about 29085.3649796594. The cubic root of 845958456 is about 945.7645077405.

The spelling of 845958456 in words is "eight hundred forty-five million, nine hundred fifty-eight thousand, four hundred fifty-six".