814400 has 42 divisors (see below), whose sum is σ = 2007870. Its totient is φ = 325120.

The previous prime is 814399. The next prime is 814403. The reversal of 814400 is 4418.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 135424 + 678976 = 368^2 + 824^2 .

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 814400.

It is not an unprimeable number, because it can be changed into a prime (814403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1346 + ... + 1854.

2⁸¹⁴⁴⁰⁰ is an apocalyptic number.

814400 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 814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003935).

814400 is an abundant number, since it is smaller than the sum of its proper divisors (1193470).

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

814400 is a wasteful number, since it uses less digits than its factorization.

814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 814400 is about 902.4411338143. The cubic root of 814400 is about 93.3854584120.

Adding to 814400 its reverse (4418), we get a palindrome (818818).

The spelling of 814400 in words is "eight hundred fourteen thousand, four hundred".