856269414 has 384 divisors, whose sum is σ = 2721116160. Its totient is φ = 195955200.

The previous prime is 856269389. The next prime is 856269437. The reversal of 856269414 is 414962658.

856269414 is a `hidden beast` number, since 8 + 5 + 626 + 9 + 4 + 14 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 856269414.

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 191 ways as a sum of consecutive naturals, for example, 11729682 + ... + 11729754.

It is an arithmetic number, because the mean of its divisors is an integer number (7086240).

Almost surely, 2^856269414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856269414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360558080).

856269414 is an abundant number, since it is smaller than the sum of its proper divisors (1864846746).

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

856269414 is a wasteful number, since it uses less digits than its factorization.

856269414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 856269414 is about 29262.0815049101. The cubic root of 856269414 is about 949.5914823421.

The spelling of 856269414 in words is "eight hundred fifty-six million, two hundred sixty-nine thousand, four hundred fourteen".