271490400 has 144 divisors (see below), whose sum is σ = 981968400. Its totient is φ = 72391680.

The previous prime is 271490399. The next prime is 271490419. The reversal of 271490400 is 4094172.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15316 + ... + 27884.

It is an arithmetic number, because the mean of its divisors is an integer number (6819225).

Almost surely, 2^271490400 is an apocalyptic number.

271490400 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 271490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490984200).

271490400 is an abundant number, since it is smaller than the sum of its proper divisors (710478000).

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

271490400 is a wasteful number, since it uses less digits than its factorization.

271490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12598 (or 12579 counting only the distinct ones).

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

The square root of 271490400 is about 16476.9657400870. The cubic root of 271490400 is about 647.5174734282.

The spelling of 271490400 in words is "two hundred seventy-one million, four hundred ninety thousand, four hundred".