856198440 has 192 divisors, whose sum is σ = 2859816960. Its totient is φ = 222082560.

The previous prime is 856198433. The next prime is 856198451. The reversal of 856198440 is 44891658.

856198440 is a `hidden beast` number, since 8 + 561 + 9 + 84 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2788767 + ... + 2789073.

It is an arithmetic number, because the mean of its divisors is an integer number (14894880).

Almost surely, 2^856198440 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 856198440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429908480).

856198440 is an abundant number, since it is smaller than the sum of its proper divisors (2003618520).

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

856198440 is a wasteful number, since it uses less digits than its factorization.

856198440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 856198440 is about 29260.8687499192. The cubic root of 856198440 is about 949.5652452073.

The spelling of 856198440 in words is "eight hundred fifty-six million, one hundred ninety-eight thousand, four hundred forty".