845983440 has 100 divisors (see below), whose sum is σ = 2938248324. Its totient is φ = 225593856.

The previous prime is 845983433. The next prime is 845983451. The reversal of 845983440 is 44389548.

It is a happy number.

845983440 is a `hidden beast` number, since 84 + 59 + 83 + 440 = 666.

845983440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 134374464 + 711608976 = 11592^2 + 26676^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58797 + ... + 71756.

Almost surely, 2^845983440 is an apocalyptic number.

845983440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

845983440 is an abundant number, since it is smaller than the sum of its proper divisors (2092264884).

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

845983440 is a wasteful number, since it uses less digits than its factorization.

845983440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130578 (or 130563 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 845983440 is about 29085.7944708409. The cubic root of 845983440 is about 945.7738181850.

The spelling of 845983440 in words is "eight hundred forty-five million, nine hundred eighty-three thousand, four hundred forty".