271440 has 120 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 64512.
The previous prime is 271429. The next prime is 271451. The reversal of 271440 is 44172.
It is a happy number.
It is a Cunningham number, because it is equal to 5212-1.
It is an interprime number because it is at equal distance from previous prime (271429) and next prime (271451).
It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 266256 = 72^2 + 516^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nialpdrome in base 12.
It is a zygodrome in base 12.
It is a congruent number.
It is an unprimeable number.
271440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9346 + ... + 9374.
It is an arithmetic number, because the mean of its divisors is an integer number (8463).
2271440 is an apocalyptic number.
271440 is a gapful number since it is divisible by the number (20) 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 271440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).
271440 is an abundant number, since it is smaller than the sum of its proper divisors (744120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
271440 is a wasteful number, since it uses less digits than its factorization.
271440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61 (or 52 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 18.
The square root of 271440 is about 520.9990403062. Note that the first 3 decimals coincide. The cubic root of 271440 is about 64.7477402152.
Subtracting from 271440 its product of nonzero digits (224), we obtain a triangular number (271216 = T736).
The spelling of 271440 in words is "two hundred seventy-one thousand, four hundred forty", and thus it is an iban number.
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