270413 has 16 divisors (see below), whose sum is σ = 333312. Its totient is φ = 216000.

The previous prime is 270407. The next prime is 270421. The reversal of 270413 is 314072.

270413 = T₆₂ + T₆₃ + ... + T₁₂₂.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 270413 - 2⁸ = 270157 is a prime.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 2¹³ + 7² + 4⁹ + 0 + 1 + 3³ .

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 270391 and 270400.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 270413.

It is not an unprimeable number, because it can be changed into a prime (270443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4403 + ... + 4463.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2²⁷⁰⁴¹³ is an apocalyptic number.

It is an amenable number.

270413 is a deficient number, since it is larger than the sum of its proper divisors (62899).

270413 is a wasteful number, since it uses less digits than its factorization.

270413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 270413 is about 520.0124998498. The cubic root of 270413 is about 64.6659787837.

Adding to 270413 its reverse (314072), we get a palindrome (584485).

The spelling of 270413 in words is "two hundred seventy thousand, four hundred thirteen".