413268 has 12 divisors (see below), whose sum is σ = 964320. Its totient is φ = 137752.

The previous prime is 413267. The next prime is 413293. The reversal of 413268 is 862314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 4³ + 1 + 2¹⁷ + 3⁷ + 6⁷ + 8 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17208 + ... + 17231.

It is an arithmetic number, because the mean of its divisors is an integer number (80360).

2⁴¹³²⁶⁸ is an apocalyptic number.

It is an amenable number.

413268 is an abundant number, since it is smaller than the sum of its proper divisors (551052).

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

413268 is a wasteful number, since it uses less digits than its factorization.

413268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34446 (or 34444 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 413268 is about 642.8592380918. The cubic root of 413268 is about 74.4864470940.

The spelling of 413268 in words is "four hundred thirteen thousand, two hundred sixty-eight".