895400 has 72 divisors (see below), whose sum is σ = 2350110. Its totient is φ = 316800.

The previous prime is 895393. The next prime is 895421. The reversal of 895400 is 4598.

895400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 813604 + 81796 = 902^2 + 286^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 895400.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24182 + ... + 24218.

2⁸⁹⁵⁴⁰⁰ 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 895400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175055).

895400 is an abundant number, since it is smaller than the sum of its proper divisors (1454710).

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

895400 is a wasteful number, since it uses less digits than its factorization.

895400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 895400 is about 946.2557793747. The cubic root of 895400 is about 96.3841666345.

Adding to 895400 its reverse (4598), we get a palindrome (899998).

The spelling of 895400 in words is "eight hundred ninety-five thousand, four hundred".