271472000 has 192 divisors, whose sum is σ = 727496640. Its totient is φ = 100684800.

The previous prime is 271471973. The next prime is 271472009. The reversal of 271472000 is 274172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271472009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5775977 + ... + 5776023.

It is an arithmetic number, because the mean of its divisors is an integer number (3789045).

Almost surely, 2^271472000 is an apocalyptic number.

271472000 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 271472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363748320).

271472000 is an abundant number, since it is smaller than the sum of its proper divisors (456024640).

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

271472000 is an equidigital number, since it uses as much as digits as its factorization.

271472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 271472000 is about 16476.4073753959. The cubic root of 271472000 is about 647.5028448069.

The spelling of 271472000 in words is "two hundred seventy-one million, four hundred seventy-two thousand".