1314400 has 72 divisors (see below), whose sum is σ = 3374784. Its totient is φ = 499200.

The previous prime is 1314377. The next prime is 1314409. The reversal of 1314400 is 44131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24774 + ... + 24826.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2^1314400 is an apocalyptic number.

1314400 is a gapful number since it is divisible by the number (10) 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 1314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392).

1314400 is an abundant number, since it is smaller than the sum of its proper divisors (2060384).

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

1314400 is a wasteful number, since it uses less digits than its factorization.

1314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1314400 is about 1146.4728518373. The cubic root of 1314400 is about 109.5407853184.

Adding to 1314400 its reverse (44131), we get a palindrome (1358531).

The spelling of 1314400 in words is "one million, three hundred fourteen thousand, four hundred".