412413 has 16 divisors (see below), whose sum is σ = 591360. Its totient is φ = 255024.

The previous prime is 412411. The next prime is 412457. The reversal of 412413 is 314214.

It is not a de Polignac number, because 412413 - 2¹ = 412411 is a prime.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 412392 and 412401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412411) 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, 2898 + ... + 3036.

It is an arithmetic number, because the mean of its divisors is an integer number (36960).

2⁴¹²⁴¹³ is an apocalyptic number.

412413 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

412413 is a deficient number, since it is larger than the sum of its proper divisors (178947).

412413 is a wasteful number, since it uses less digits than its factorization.

412413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208.

The product of its digits is 96, while the sum is 15.

The square root of 412413 is about 642.1938959536. The cubic root of 412413 is about 74.4350439026.

Adding to 412413 its reverse (314214), we get a palindrome (726627).

The spelling of 412413 in words is "four hundred twelve thousand, four hundred thirteen".