226400 has 36 divisors (see below), whose sum is σ = 554652. Its totient is φ = 90240.

The previous prime is 226397. The next prime is 226409. The reversal of 226400 is 4622.

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 5 ways as a sum of consecutive naturals, for example, 659 + ... + 941.

It is an arithmetic number, because the mean of its divisors is an integer number (15407).

2²²⁶⁴⁰⁰ is an apocalyptic number.

226400 is a gapful number since it is divisible by the number (20) 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 226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277326).

226400 is an abundant number, since it is smaller than the sum of its proper divisors (328252).

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

226400 is a wasteful number, since it uses less digits than its factorization.

226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 226400 is about 475.8150901348. The cubic root of 226400 is about 60.9479085880.

It can be divided in two parts, 226 and 400, that added together give a palindrome (626).

The spelling of 226400 in words is "two hundred twenty-six thousand, four hundred".