226408 has 32 divisors (see below), whose sum is σ = 524160. Its totient is φ = 89280.

The previous prime is 226397. The next prime is 226409. The reversal of 226408 is 804622.

226408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573 + ... + 883.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2²²⁶⁴⁰⁸ is an apocalyptic number.

226408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

226408 is an abundant number, since it is smaller than the sum of its proper divisors (297752).

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

226408 is a wasteful number, since it uses less digits than its factorization.

226408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 226408 is about 475.8234966876. The cubic root of 226408 is about 60.9486264583.

The spelling of 226408 in words is "two hundred twenty-six thousand, four hundred eight".