856445400 has 240 divisors, whose sum is σ = 3078820800. Its totient is φ = 220389120.

The previous prime is 856445393. The next prime is 856445407. The reversal of 856445400 is 4544658.

856445400 is a `hidden beast` number, since 8 + 5 + 644 + 5 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (856445393) and next prime (856445407).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856445407) 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 59 ways as a sum of consecutive naturals, for example, 468889 + ... + 470711.

It is an arithmetic number, because the mean of its divisors is an integer number (12828420).

Almost surely, 2^856445400 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 856445400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539410400).

856445400 is an abundant number, since it is smaller than the sum of its proper divisors (2222375400).

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

856445400 is a wasteful number, since it uses less digits than its factorization.

856445400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 856445400 is about 29265.0884160633. The cubic root of 856445400 is about 949.6565332697.

The spelling of 856445400 in words is "eight hundred fifty-six million, four hundred forty-five thousand, four hundred".