1327271400 has 768 divisors, whose sum is σ = 5857958400. Its totient is φ = 268738560.

The previous prime is 1327271383. The next prime is 1327271423. The reversal of 1327271400 is 41727231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18181764 + ... + 18181836.

It is an arithmetic number, because the mean of its divisors is an integer number (7627550).

Almost surely, 2^1327271400 is an apocalyptic number.

1327271400 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 1327271400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928979200).

1327271400 is an abundant number, since it is smaller than the sum of its proper divisors (4530687000).

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

1327271400 is a wasteful number, since it uses less digits than its factorization.

1327271400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1327271400 is about 36431.7361650526. The cubic root of 1327271400 is about 1098.9718768220.

Adding to 1327271400 its reverse (41727231), we get a palindrome (1368998631).

The spelling of 1327271400 in words is "one billion, three hundred twenty-seven million, two hundred seventy-one thousand, four hundred".