1132304000 has 64 divisors (see below), whose sum is σ = 2815230600. Its totient is φ = 452915200.

The previous prime is 1132303981. The next prime is 1132304009. The reversal of 1132304000 is 4032311.

It can be written as a sum of positive squares in 4 ways, for example, as 598878784 + 533425216 = 24472^2 + 23096^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1132304000² = 2564224696832000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132304009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19385 + ... + 51384.

Almost surely, 2^1132304000 is an apocalyptic number.

1132304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132304000 is an abundant number, since it is smaller than the sum of its proper divisors (1682926600).

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

1132304000 is an frugal number, since it uses more digits than its factorization.

1132304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70798 (or 70776 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1132304000 is about 33649.7251103185. The cubic root of 1132304000 is about 1042.2878627216.

Adding to 1132304000 its reverse (4032311), we get a palindrome (1136336311).

The spelling of 1132304000 in words is "one billion, one hundred thirty-two million, three hundred four thousand".