1126483200 has 540 divisors, whose sum is σ = 4347213948. Its totient is φ = 287539200.

The previous prime is 1126483181. The next prime is 1126483217. The reversal of 1126483200 is 23846211.

1126483200 is a `hidden beast` number, since 1 + 12 + 648 + 3 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 104530176 + 1021953024 = 10224^2 + 31968^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21254374 + ... + 21254426.

Almost surely, 2^1126483200 is an apocalyptic number.

1126483200 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 1126483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173606974).

1126483200 is an abundant number, since it is smaller than the sum of its proper divisors (3220730748).

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

1126483200 is an equidigital number, since it uses as much as digits as its factorization.

1126483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1126483200 is about 33563.1226199232. The cubic root of 1126483200 is about 1040.4987745607.

The spelling of 1126483200 in words is "one billion, one hundred twenty-six million, four hundred eighty-three thousand, two hundred".