350224 has 40 divisors (see below), whose sum is σ = 803520. Its totient is φ = 144768.

The previous prime is 350219. The next prime is 350237. The reversal of 350224 is 422053.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 350198 and 350207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5907 + ... + 5965.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2³⁵⁰²²⁴ 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 350224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

350224 is an abundant number, since it is smaller than the sum of its proper divisors (453296).

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

350224 is a wasteful number, since it uses less digits than its factorization.

350224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 350224 is about 591.7972625824. The cubic root of 350224 is about 70.4880183518.

Adding to 350224 its product of nonzero digits (240), we get a square (350464 = 592²).

Adding to 350224 its reverse (422053), we get a palindrome (772277).

It can be divided in two parts, 3502 and 24, that multiplied together give a palindrome (84048).

The spelling of 350224 in words is "three hundred fifty thousand, two hundred twenty-four".