1130461200 has 180 divisors, whose sum is σ = 4279801968. Its totient is φ = 274041600.

The previous prime is 1130461177. The next prime is 1130461207. The reversal of 1130461200 is 21640311.

It is a happy number.

1130461200 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 461 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×1130461200³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1130461207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25327 + ... + 53873.

Almost surely, 2^1130461200 is an apocalyptic number.

1130461200 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 1130461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139900984).

1130461200 is an abundant number, since it is smaller than the sum of its proper divisors (3149340768).

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

1130461200 is a wasteful number, since it uses less digits than its factorization.

1130461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28582 (or 28568 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1130461200 is about 33622.3318644023. The cubic root of 1130461200 is about 1041.7221221321.

The spelling of 1130461200 in words is "one billion, one hundred thirty million, four hundred sixty-one thousand, two hundred".