856964400 has 120 divisors (see below), whose sum is σ = 2819481744. Its totient is φ = 222336000.

The previous prime is 856964399. The next prime is 856964401. The reversal of 856964400 is 4469658.

It is an interprime number because it is at equal distance from previous prime (856964399) and next prime (856964401).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (856964401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 34750 + ... + 54050.

Almost surely, 2^856964400 is an apocalyptic number.

856964400 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 856964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409740872).

856964400 is an abundant number, since it is smaller than the sum of its proper divisors (1962517344).

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

856964400 is a wasteful number, since it uses less digits than its factorization.

856964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19359 (or 19348 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 856964400 is about 29273.9542938770. The cubic root of 856964400 is about 949.8483229683.

The spelling of 856964400 in words is "eight hundred fifty-six million, nine hundred sixty-four thousand, four hundred".