856455444 has 192 divisors, whose sum is σ = 2568948480. Its totient is φ = 247463424.

The previous prime is 856455421. The next prime is 856455451. The reversal of 856455444 is 444554658.

It is a happy number.

856455444 is a `hidden beast` number, since 8 + 56 + 4 + 554 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 856455444.

It is a congruent number.

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, 1933087 + ... + 1933529.

It is an arithmetic number, because the mean of its divisors is an integer number (13379940).

Almost surely, 2^856455444 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 856455444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284474240).

856455444 is an abundant number, since it is smaller than the sum of its proper divisors (1712493036).

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

856455444 is a wasteful number, since it uses less digits than its factorization.

856455444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 478 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 45.

The square root of 856455444 is about 29265.2600193472. The cubic root of 856455444 is about 949.6602456344.

The spelling of 856455444 in words is "eight hundred fifty-six million, four hundred fifty-five thousand, four hundred forty-four".