894400 has 84 divisors (see below), whose sum is σ = 2425192. Its totient is φ = 322560.

The previous prime is 894391. The next prime is 894403. The reversal of 894400 is 4498.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (894403) by changing a digit.

894400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20779 + ... + 20821.

2⁸⁹⁴⁴⁰⁰ is an apocalyptic number.

894400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212596).

894400 is an abundant number, since it is smaller than the sum of its proper divisors (1530792).

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

894400 is a wasteful number, since it uses less digits than its factorization.

894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 894400 is about 945.7272334030. The cubic root of 894400 is about 96.3482720361.

Adding to 894400 its reverse (4498), we get a palindrome (898898).

It can be divided in two parts, 89 and 4400, that added together give a square (4489 = 67²).

The spelling of 894400 in words is "eight hundred ninety-four thousand, four hundred".