270400 has 63 divisors (see below), whose sum is σ = 720471. Its totient is φ = 99840.

The previous prime is 270379. The next prime is 270407. The reversal of 270400 is 4072.

The square root of 270400 is 520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 200704 = 264^2 + 448^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (270407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20794 + ... + 20806.

2²⁷⁰⁴⁰⁰ is an apocalyptic number.

270400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

270400 is the 520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270400

270400 is an abundant number, since it is smaller than the sum of its proper divisors (450071).

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

270400 is a wasteful number, since it uses less digits than its factorization.

270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The cubic root of 270400 is about 64.6649425031.

Adding to 270400 its reverse (4072), we get a palindrome (274472).

The spelling of 270400 in words is "two hundred seventy thousand, four hundred", and thus it is an iban number.