271094400 has 144 divisors (see below), whose sum is σ = 967429710. Its totient is φ = 72284160.

The previous prime is 271094389. The next prime is 271094429. The reversal of 271094400 is 4490172.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 263997504 + 7096896 = 16248^2 + 2664^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×271094400² = 146984347422720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24094 + ... + 33506.

Almost surely, 2^271094400 is an apocalyptic number.

271094400 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 271094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483714855).

271094400 is an abundant number, since it is smaller than the sum of its proper divisors (696335310).

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

271094400 is a wasteful number, since it uses less digits than its factorization.

271094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443 (or 9423 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 271094400 is about 16464.9445793176. The cubic root of 271094400 is about 647.2024939767.

The spelling of 271094400 in words is "two hundred seventy-one million, ninety-four thousand, four hundred".