356224 has 48 divisors (see below), whose sum is σ = 813960. Its totient is φ = 154880.

The previous prime is 356219. The next prime is 356243. The reversal of 356224 is 422653.

It is a happy number.

356224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

Its product of digits (1440) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 356195 and 356204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15477 + ... + 15499.

2³⁵⁶²²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406980).

356224 is an abundant number, since it is smaller than the sum of its proper divisors (457736).

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

356224 is a wasteful number, since it uses less digits than its factorization.

356224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 36 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 356224 is about 596.8450385150. The cubic root of 356224 is about 70.8882723336. Note that the first 3 decimals are identical.

Adding to 356224 its reverse (422653), we get a palindrome (778877).

The spelling of 356224 in words is "three hundred fifty-six thousand, two hundred twenty-four".