412893 has 12 divisors (see below), whose sum is σ = 642460. Its totient is φ = 254016.

The previous prime is 412891. The next prime is 412901. The reversal of 412893 is 398214.

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 363609 = 222^2 + 603^2 .

It is not a de Polignac number, because 412893 - 2¹ = 412891 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1648 + ... + 1881.

2⁴¹²⁸⁹³ is an apocalyptic number.

It is an amenable number.

412893 is a deficient number, since it is larger than the sum of its proper divisors (229567).

412893 is a wasteful number, since it uses less digits than its factorization.

412893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3545 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 412893 is about 642.5675061813. The cubic root of 412893 is about 74.4639105716.

The spelling of 412893 in words is "four hundred twelve thousand, eight hundred ninety-three".