1130204400 has 180 divisors, whose sum is σ = 3921041448. Its totient is φ = 278154240.

The previous prime is 1130204399. The next prime is 1130204431. The reversal of 1130204400 is 44020311.

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 1130204400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200014 + ... + 205586.

Almost surely, 2^1130204400 is an apocalyptic number.

1130204400 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 1130204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960520724).

1130204400 is an abundant number, since it is smaller than the sum of its proper divisors (2790837048).

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

1130204400 is a wasteful number, since it uses less digits than its factorization.

1130204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1130204400 is about 33618.5127571105. The cubic root of 1130204400 is about 1041.6432355974.

Adding to 1130204400 its reverse (44020311), we get a palindrome (1174224711).

The spelling of 1130204400 in words is "one billion, one hundred thirty million, two hundred four thousand, four hundred".