1132434400 has 72 divisors (see below), whose sum is σ = 2802570624. Its totient is φ = 446745600.

The previous prime is 1132434397. The next prime is 1132434421. The reversal of 1132434400 is 44342311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48705 + ... + 68095.

It is an arithmetic number, because the mean of its divisors is an integer number (38924592).

Almost surely, 2^1132434400 is an apocalyptic number.

1132434400 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 1132434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401285312).

1132434400 is an abundant number, since it is smaller than the sum of its proper divisors (1670136224).

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

1132434400 is a wasteful number, since it uses less digits than its factorization.

1132434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19484 (or 19471 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1132434400 is about 33651.6626632326. The cubic root of 1132434400 is about 1042.3278723304.

Adding to 1132434400 its reverse (44342311), we get a palindrome (1176776711).

The spelling of 1132434400 in words is "one billion, one hundred thirty-two million, four hundred thirty-four thousand, four hundred".