226464 has 48 divisors (see below), whose sum is σ = 681408. Its totient is φ = 64512.

The previous prime is 226463. The next prime is 226483. The reversal of 226464 is 464622.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹⁵ + 2¹⁷ + 4⁶ + 6⁵ + 6⁶ + 4⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226463) 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, 504 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (14196).

2²²⁶⁴⁶⁴ is an apocalyptic number.

226464 is a gapful number since it is divisible by the number (24) 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 226464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340704).

226464 is an abundant number, since it is smaller than the sum of its proper divisors (454944).

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

226464 is a wasteful number, since it uses less digits than its factorization.

226464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 226464 is about 475.8823383989. The cubic root of 226464 is about 60.9536510772.

The spelling of 226464 in words is "two hundred twenty-six thousand, four hundred sixty-four".