856226400 has 72 divisors (see below), whose sum is σ = 2787024744. Its totient is φ = 228326400.

The previous prime is 856226383. The next prime is 856226429. The reversal of 856226400 is 4622658.

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 11 ways as a sum of consecutive naturals, for example, 175981 + ... + 180780.

It is an arithmetic number, because the mean of its divisors is an integer number (38708677).

Almost surely, 2^856226400 is an apocalyptic number.

856226400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

856226400 is an abundant number, since it is smaller than the sum of its proper divisors (1930798344).

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

856226400 is a wasteful number, since it uses less digits than its factorization.

856226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356784 (or 356771 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 856226400 is about 29261.3465172059. The cubic root of 856226400 is about 949.5755814230.

The spelling of 856226400 in words is "eight hundred fifty-six million, two hundred twenty-six thousand, four hundred".