1114400 has 72 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 380160.

The previous prime is 1114397. The next prime is 1114423. The reversal of 1114400 is 44111.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5501 + ... + 5699.

It is an arithmetic number, because the mean of its divisors is an integer number (43400).

2^1114400 is an apocalyptic number.

1114400 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 1114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

1114400 is an abundant number, since it is smaller than the sum of its proper divisors (2010400).

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

1114400 is a wasteful number, since it uses less digits than its factorization.

1114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1114400 is about 1055.6514576317. The cubic root of 1114400 is about 103.6765096244.

Adding to 1114400 its reverse (44111), we get a palindrome (1158511).

The spelling of 1114400 in words is "one million, one hundred fourteen thousand, four hundred".