271328400 has 480 divisors, whose sum is σ = 1145204480. Its totient is φ = 59719680.

The previous prime is 271328377. The next prime is 271328441. The reversal of 271328400 is 4823172.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2797152 + ... + 2797248.

Almost surely, 2^271328400 is an apocalyptic number.

271328400 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 271328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572602240).

271328400 is an abundant number, since it is smaller than the sum of its proper divisors (873876080).

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

271328400 is a wasteful number, since it uses less digits than its factorization.

271328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 271328400 is about 16472.0490528653. The cubic root of 271328400 is about 647.3886552428.

It can be divided in two parts, 2713 and 28400, that added together give a palindrome (31113).

The spelling of 271328400 in words is "two hundred seventy-one million, three hundred twenty-eight thousand, four hundred".