271440960 has 224 divisors, whose sum is σ = 1017495552. Its totient is φ = 59996160.

The previous prime is 271440941. The next prime is 271440971. The reversal of 271440960 is 69044172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×271440960³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 207669 + ... + 208971.

Almost surely, 2^271440960 is an apocalyptic number.

271440960 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 271440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508747776).

271440960 is an abundant number, since it is smaller than the sum of its proper divisors (746054592).

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

271440960 is a wasteful number, since it uses less digits than its factorization.

271440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 271440960 is about 16475.4653955510. The cubic root of 271440960 is about 647.4781654608.

The spelling of 271440960 in words is "two hundred seventy-one million, four hundred forty thousand, nine hundred sixty".