1132262400 has 264 divisors, whose sum is σ = 3910981824. Its totient is φ = 288358400.

The previous prime is 1132262389. The next prime is 1132262431. The reversal of 1132262400 is 42622311.

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 23 ways as a sum of consecutive naturals, for example, 1766080 + ... + 1766720.

Almost surely, 2^1132262400 is an apocalyptic number.

1132262400 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 1132262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955490912).

1132262400 is an abundant number, since it is smaller than the sum of its proper divisors (2778719424).

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

1132262400 is a wasteful number, since it uses less digits than its factorization.

1132262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1132262400 is about 33649.1069718054. The cubic root of 1132262400 is about 1042.2750982738.

Adding to 1132262400 its reverse (42622311), we get a palindrome (1174884711).

The spelling of 1132262400 in words is "one billion, one hundred thirty-two million, two hundred sixty-two thousand, four hundred".