851873400 has 576 divisors, whose sum is σ = 3582895680. Its totient is φ = 176947200.

The previous prime is 851873389. The next prime is 851873401. The reversal of 851873400 is 4378158.

851873400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (851873401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8782152 + ... + 8782248.

It is an arithmetic number, because the mean of its divisors is an integer number (6220305).

Almost surely, 2^851873400 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 851873400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791447840).

851873400 is an abundant number, since it is smaller than the sum of its proper divisors (2731022280).

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

851873400 is a wasteful number, since it uses less digits than its factorization.

851873400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 851873400 is about 29186.8703358205. The cubic root of 851873400 is about 947.9636529353.

It can be divided in two parts, 8518 and 73400, that added together give a palindrome (81918).

The spelling of 851873400 in words is "eight hundred fifty-one million, eight hundred seventy-three thousand, four hundred".