1130476600 has 192 divisors, whose sum is σ = 2992308480. Its totient is φ = 393600000.

The previous prime is 1130476553. The next prime is 1130476643. The reversal of 1130476600 is 66740311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7486525 + ... + 7486675.

It is an arithmetic number, because the mean of its divisors is an integer number (15584940).

Almost surely, 2^1130476600 is an apocalyptic number.

1130476600 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 1130476600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496154240).

1130476600 is an abundant number, since it is smaller than the sum of its proper divisors (1861831880).

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

1130476600 is a wasteful number, since it uses less digits than its factorization.

1130476600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1130476600 is about 33622.5608780771. The cubic root of 1130476600 is about 1041.7268524869.

The spelling of 1130476600 in words is "one billion, one hundred thirty million, four hundred seventy-six thousand, six hundred".