853400 has 48 divisors (see below), whose sum is σ = 2109240. Its totient is φ = 320000.

The previous prime is 853387. The next prime is 853403. The reversal of 853400 is 4358.

853400 = 216² + 217² + ... + 232².

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3275 + ... + 3525.

2⁸⁵³⁴⁰⁰ 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 853400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054620).

853400 is an abundant number, since it is smaller than the sum of its proper divisors (1255840).

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

853400 is a wasteful number, since it uses less digits than its factorization.

853400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 853400 is about 923.7965143905. The cubic root of 853400 is about 94.8529581202.

Adding to 853400 its reverse (4358), we get a palindrome (857758).

The spelling of 853400 in words is "eight hundred fifty-three thousand, four hundred".