1130330400 has 144 divisors (see below), whose sum is σ = 3839379264. Its totient is φ = 288302080.

The previous prime is 1130330393. The next prime is 1130330413. The reversal of 1130330400 is 40330311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1130330400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44962 + ... + 65438.

It is an arithmetic number, because the mean of its divisors is an integer number (26662356).

Almost surely, 2^1130330400 is an apocalyptic number.

1130330400 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 1130330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919689632).

1130330400 is an abundant number, since it is smaller than the sum of its proper divisors (2709048864).

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

1130330400 is a wasteful number, since it uses less digits than its factorization.

1130330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20523 (or 20510 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1130330400 is about 33620.3866723748. The cubic root of 1130330400 is about 1041.6819431004.

Adding to 1130330400 its reverse (40330311), we get a palindrome (1170660711).

The spelling of 1130330400 in words is "one billion, one hundred thirty million, three hundred thirty thousand, four hundred".