856406000 has 160 divisors (see below), whose sum is σ = 2253189120. Its totient is φ = 313632000.

The previous prime is 856405973. The next prime is 856406009. The reversal of 856406000 is 604658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856406009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177637 + ... + 1178363.

It is an arithmetic number, because the mean of its divisors is an integer number (14082432).

Almost surely, 2^856406000 is an apocalyptic number.

856406000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126594560).

856406000 is an abundant number, since it is smaller than the sum of its proper divisors (1396783120).

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

856406000 is a wasteful number, since it uses less digits than its factorization.

856406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 856406000 is about 29264.4152512911. The cubic root of 856406000 is about 949.6419703483.

The spelling of 856406000 in words is "eight hundred fifty-six million, four hundred six thousand".