845494440 has 256 divisors, whose sum is σ = 2994001920. Its totient is φ = 187038720.

The previous prime is 845494427. The next prime is 845494469. The reversal of 845494440 is 44494548.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 845494392 and 845494401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4671150 + ... + 4671330.

It is an arithmetic number, because the mean of its divisors is an integer number (11695320).

Almost surely, 2^845494440 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 845494440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497000960).

845494440 is an abundant number, since it is smaller than the sum of its proper divisors (2148507480).

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

845494440 is a wasteful number, since it uses less digits than its factorization.

845494440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 845494440 is about 29077.3870903147. The cubic root of 845494440 is about 945.5915559354.

The spelling of 845494440 in words is "eight hundred forty-five million, four hundred ninety-four thousand, four hundred forty".