415381 has 2 divisors, whose sum is σ = 415382. Its totient is φ = 415380.

The previous prime is 415379. The next prime is 415391. The reversal of 415381 is 183514.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220900 + 194481 = 470^2 + 441^2 .

It is a cyclic number.

It is not a de Polignac number, because 415381 - 2¹ = 415379 is a prime.

It is a super-2 number, since 2×415381² = 345082750322, which contains 22 as substring.

Together with 415379, it forms a pair of twin primes.

It is a Chen prime.

It is the 645-th Hogben number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415391) by changing a digit.

It is a nontrivial repunit in base 644.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207690 + 207691.

It is an arithmetic number, because the mean of its divisors is an integer number (207691).

2⁴¹⁵³⁸¹ is an apocalyptic number.

415381 is the 345-th centered heptagonal number.

It is an amenable number.

415381 is a deficient number, since it is larger than the sum of its proper divisors (1).

415381 is an equidigital number, since it uses as much as digits as its factorization.

415381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 480, while the sum is 22.

The square root of 415381 is about 644.5005818461. The cubic root of 415381 is about 74.6131787243.

Adding to 415381 its reverse (183514), we get a palindrome (598895).

The spelling of 415381 in words is "four hundred fifteen thousand, three hundred eighty-one".