857846440 has 72 divisors (see below), whose sum is σ = 2126626110. Its totient is φ = 311203200.

The previous prime is 857846389. The next prime is 857846441. The reversal of 857846440 is 44648758.

It can be written as a sum of positive squares in 3 ways, for example, as 124411716 + 733434724 = 11154^2 + 27082^2 .

It is not an unprimeable number, because it can be changed into a prime (857846441) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2037430 + ... + 2037850.

Almost surely, 2^857846440 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 857846440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063313055).

857846440 is an abundant number, since it is smaller than the sum of its proper divisors (1268779670).

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

857846440 is a wasteful number, since it uses less digits than its factorization.

857846440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The square root of 857846440 is about 29289.0156884795. The cubic root of 857846440 is about 950.1740918253.

The spelling of 857846440 in words is "eight hundred fifty-seven million, eight hundred forty-six thousand, four hundred forty".