851400 has 144 divisors (see below), whose sum is σ = 3191760. Its totient is φ = 201600.

The previous prime is 851393. The next prime is 851401. The reversal of 851400 is 4158.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (851401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19779 + ... + 19821.

It is an arithmetic number, because the mean of its divisors is an integer number (22165).

2⁸⁵¹⁴⁰⁰ 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 851400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595880).

851400 is an abundant number, since it is smaller than the sum of its proper divisors (2340360).

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

851400 is a wasteful number, since it uses less digits than its factorization.

851400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 851400 is about 922.7133899538. The cubic root of 851400 is about 94.7788020755.

Adding to 851400 its reverse (4158), we get a palindrome (855558).

It can be divided in two parts, 85 and 1400, that added together give a triangular number (1485 = T₅₄).

The spelling of 851400 in words is "eight hundred fifty-one thousand, four hundred".