271412000 has 48 divisors (see below), whose sum is σ = 666869112. Its totient is φ = 108563200.

The previous prime is 271411963. The next prime is 271412033. The reversal of 271412000 is 214172.

It can be written as a sum of positive squares in 4 ways, for example, as 119333776 + 152078224 = 10924^2 + 12332^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 271412000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29927 + ... + 37926.

Almost surely, 2^271412000 is an apocalyptic number.

271412000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271412000 is an abundant number, since it is smaller than the sum of its proper divisors (395457112).

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

271412000 is an equidigital number, since it uses as much as digits as its factorization.

271412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67878 (or 67860 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 271412000 is about 16474.5864894995. The cubic root of 271412000 is about 647.4551381887.

Adding to 271412000 its reverse (214172), we get a palindrome (271626172).

The spelling of 271412000 in words is "two hundred seventy-one million, four hundred twelve thousand".