271253840 has 160 divisors (see below), whose sum is σ = 750701952. Its totient is φ = 89856000.

The previous prime is 271253809. The next prime is 271253869. The reversal of 271253840 is 48352172.

It is a junction number, because it is equal to n+sod(n) for n = 271253797 and 271253806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1498550 + ... + 1498730.

Almost surely, 2^271253840 is an apocalyptic number.

271253840 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 271253840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375350976).

271253840 is an abundant number, since it is smaller than the sum of its proper divisors (479448112).

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

271253840 is a wasteful number, since it uses less digits than its factorization.

271253840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 271253840 is about 16469.7856695222. The cubic root of 271253840 is about 647.3293498399.

The spelling of 271253840 in words is "two hundred seventy-one million, two hundred fifty-three thousand, eight hundred forty".