1140724800 has 252 divisors, whose sum is σ = 4165928676. Its totient is φ = 295833600.

The previous prime is 1140724789. The next prime is 1140724801. The reversal of 1140724800 is 84270411.

1140724800 is a `hidden beast` number, since 11 + 407 + 248 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 149230656 + 991494144 = 12216^2 + 31488^2 .

It is not an unprimeable number, because it can be changed into a prime (1140724801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 531730 + ... + 533870.

It is an arithmetic number, because the mean of its divisors is an integer number (16531463).

Almost surely, 2^1140724800 is an apocalyptic number.

1140724800 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 1140724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082964338).

1140724800 is an abundant number, since it is smaller than the sum of its proper divisors (3025203876).

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

1140724800 is a wasteful number, since it uses less digits than its factorization.

1140724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1140724800 is about 33774.6176884358. The cubic root of 1140724800 is about 1044.8652711236.

The spelling of 1140724800 in words is "one billion, one hundred forty million, seven hundred twenty-four thousand, eight hundred".