413226 has 24 divisors (see below), whose sum is σ = 977184. Its totient is φ = 125160.

The previous prime is 413207. The next prime is 413233. The reversal of 413226 is 622314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 4⁸ + 1 + 2⁹ + 3¹⁰ + 2¹³ + 6⁷ .

It is a Curzon number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 413199 and 413208.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 846 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (40716).

2⁴¹³²²⁶ is an apocalyptic number.

413226 is an abundant number, since it is smaller than the sum of its proper divisors (563958).

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

413226 is a wasteful number, since it uses less digits than its factorization.

413226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2103 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 413226 is about 642.8265707016. The cubic root of 413226 is about 74.4839236816.

It can be divided in two parts, 41322 and 6, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 413226 in words is "four hundred thirteen thousand, two hundred twenty-six".