856746504 has 128 divisors (see below), whose sum is σ = 2563891200. Its totient is φ = 264306240.

The previous prime is 856746463. The next prime is 856746523. The reversal of 856746504 is 405647658.

856746504 is a `hidden beast` number, since 85 + 67 + 4 + 6 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 856746504.

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 31 ways as a sum of consecutive naturals, for example, 151227 + ... + 156789.

It is an arithmetic number, because the mean of its divisors is an integer number (20030400).

Almost surely, 2^856746504 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 856746504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281945600).

856746504 is an abundant number, since it is smaller than the sum of its proper divisors (1707144696).

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

856746504 is a wasteful number, since it uses less digits than its factorization.

856746504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 856746504 is about 29270.2323871882. The cubic root of 856746504 is about 949.7678117692.

The spelling of 856746504 in words is "eight hundred fifty-six million, seven hundred forty-six thousand, five hundred four".