1132000400 has 60 divisors (see below), whose sum is σ = 2727675492. Its totient is φ = 451461120.

The previous prime is 1132000349. The next prime is 1132000409. The reversal of 1132000400 is 40002311.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 25240576 + 1106759824 = 5024^2 + 33268^2 .

It is not an unprimeable number, because it can be changed into a prime (1132000409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137192 + ... + 145208.

Almost surely, 2^1132000400 is an apocalyptic number.

1132000400 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 1132000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363837746).

1132000400 is an abundant number, since it is smaller than the sum of its proper divisors (1595675092).

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

1132000400 is a wasteful number, since it uses less digits than its factorization.

1132000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8388 (or 8377 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1132000400 is about 33645.2136269039. The cubic root of 1132000400 is about 1042.1946996132.

Adding to 1132000400 its reverse (40002311), we get a palindrome (1172002711).

The spelling of 1132000400 in words is "one billion, one hundred thirty-two million, four hundred", and thus it is an aban number.