1327240400 has 60 divisors (see below), whose sum is σ = 3242798400. Its totient is φ = 521888640.

The previous prime is 1327240393. The next prime is 1327240403. The reversal of 1327240400 is 40427231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327240403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4520 + ... + 51719.

It is an arithmetic number, because the mean of its divisors is an integer number (54046640).

Almost surely, 2^1327240400 is an apocalyptic number.

1327240400 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 1327240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621399200).

1327240400 is an abundant number, since it is smaller than the sum of its proper divisors (1915558000).

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

1327240400 is a wasteful number, since it uses less digits than its factorization.

1327240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56316 (or 56305 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 1327240400 is about 36431.3107093335. The cubic root of 1327240400 is about 1098.9633208242.

Adding to 1327240400 its reverse (40427231), we get a palindrome (1367667631).

The spelling of 1327240400 in words is "one billion, three hundred twenty-seven million, two hundred forty thousand, four hundred".