1271327400 has 576 divisors, whose sum is σ = 5248414080. Its totient is φ = 279936000.

The previous prime is 1271327381. The next prime is 1271327417. The reversal of 1271327400 is 47231721.

It is a happy number.

1271327400 is a `hidden beast` number, since 127 + 132 + 7 + 400 = 666.

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 143 ways as a sum of consecutive naturals, for example, 12587350 + ... + 12587450.

It is an arithmetic number, because the mean of its divisors is an integer number (9111830).

Almost surely, 2^1271327400 is an apocalyptic number.

1271327400 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 1271327400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624207040).

1271327400 is an abundant number, since it is smaller than the sum of its proper divisors (3977086680).

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

1271327400 is a wasteful number, since it uses less digits than its factorization.

1271327400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

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

The square root of 1271327400 is about 35655.6783696510. The cubic root of 1271327400 is about 1083.3092938781.

The spelling of 1271327400 in words is "one billion, two hundred seventy-one million, three hundred twenty-seven thousand, four hundred".