271473216 has 112 divisors (see below), whose sum is σ = 864168960. Its totient is φ = 73474560.

The previous prime is 271473199. The next prime is 271473217. The reversal of 271473216 is 612374172.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (271473217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20221 + ... + 30851.

Almost surely, 2^271473216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271473216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432084480).

271473216 is an abundant number, since it is smaller than the sum of its proper divisors (592695744).

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

271473216 is a wasteful number, since it uses less digits than its factorization.

271473216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10672 (or 10662 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 271473216 is about 16476.4442766029. Note that the first 3 decimals coincide. The cubic root of 271473216 is about 647.5038115884.

The spelling of 271473216 in words is "two hundred seventy-one million, four hundred seventy-three thousand, two hundred sixteen".