1146269200 has 120 divisors (see below), whose sum is σ = 2946541320. Its totient is φ = 427008000.

The previous prime is 1146269191. The next prime is 1146269207. The reversal of 1146269200 is 29626411.

It can be written as a sum of positive squares in 12 ways, for example, as 6801664 + 1139467536 = 2608^2 + 33756^2 .

It is not an unprimeable number, because it can be changed into a prime (1146269207) 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 23 ways as a sum of consecutive naturals, for example, 685966 + ... + 687634.

It is an arithmetic number, because the mean of its divisors is an integer number (24554511).

Almost surely, 2^1146269200 is an apocalyptic number.

1146269200 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 1146269200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473270660).

1146269200 is an abundant number, since it is smaller than the sum of its proper divisors (1800272120).

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

1146269200 is a wasteful number, since it uses less digits than its factorization.

1146269200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1146269200 is about 33856.5975845181. The cubic root of 1146269200 is about 1046.5553634106. Note that the first 3 decimals are identical.

The spelling of 1146269200 in words is "one billion, one hundred forty-six million, two hundred sixty-nine thousand, two hundred".