1163485800 has 288 divisors, whose sum is σ = 4178304000. Its totient is φ = 289497600.

The previous prime is 1163485781. The next prime is 1163485819. The reversal of 1163485800 is 85843611.

1163485800 is a `hidden beast` number, since 11 + 63 + 4 + 8 + 580 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1163485781) and next prime (1163485819).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 1617841 + ... + 1618559.

It is an arithmetic number, because the mean of its divisors is an integer number (14508000).

Almost surely, 2^1163485800 is an apocalyptic number.

1163485800 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 1163485800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089152000).

1163485800 is an abundant number, since it is smaller than the sum of its proper divisors (3014818200).

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

1163485800 is a wasteful number, since it uses less digits than its factorization.

1163485800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1163485800 is about 34109.9076515900. The cubic root of 1163485800 is about 1051.7689908026.

The spelling of 1163485800 in words is "one billion, one hundred sixty-three million, four hundred eighty-five thousand, eight hundred".