224406 has 48 divisors (see below), whose sum is σ = 602784. Its totient is φ = 58752.

The previous prime is 224401. The next prime is 224423. The reversal of 224406 is 604422.

Added to its reverse (604422) it gives a triangular number (828828 = T₁₂₈₇).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1570 + ... + 1706.

It is an arithmetic number, because the mean of its divisors is an integer number (12558).

2²²⁴⁴⁰⁶ is an apocalyptic number.

224406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 224406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301392).

224406 is an abundant number, since it is smaller than the sum of its proper divisors (378378).

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

224406 is a wasteful number, since it uses less digits than its factorization.

224406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224406 is about 473.7151042557. The cubic root of 224406 is about 60.7684494084.

Adding to 224406 its reverse (604422), we get a palindrome (828828).

It can be divided in two parts, 224 and 406, that added together give a triangular number (630 = T₃₅).

The spelling of 224406 in words is "two hundred twenty-four thousand, four hundred six".