1114304000 has 160 divisors (see below), whose sum is σ = 2903224896. Its totient is φ = 425779200.

The previous prime is 1114303999. The next prime is 1114304011. The reversal of 1114304000 is 4034111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471622 + ... + 1472378.

Almost surely, 2^1114304000 is an apocalyptic number.

1114304000 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 1114304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451612448).

1114304000 is an abundant number, since it is smaller than the sum of its proper divisors (1788920896).

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

1114304000 is an frugal number, since it uses more digits than its factorization.

1114304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1114304000 is about 33381.1923094428. The cubic root of 1114304000 is about 1036.7353246757.

Adding to 1114304000 its reverse (4034111), we get a palindrome (1118338111).

The spelling of 1114304000 in words is "one billion, one hundred fourteen million, three hundred four thousand".