415224 has 48 divisors (see below), whose sum is σ = 1154400. Its totient is φ = 134784.

The previous prime is 415213. The next prime is 415231. The reversal of 415224 is 422514.

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

It is a junction number, because it is equal to n+sod(n) for n = 415197 and 415206.

It is a congruent number.

It is an unprimeable number.

415224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5217 + ... + 5295.

It is an arithmetic number, because the mean of its divisors is an integer number (24050).

2⁴¹⁵²²⁴ 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 415224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577200).

415224 is an abundant number, since it is smaller than the sum of its proper divisors (739176).

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

415224 is a wasteful number, since it uses less digits than its factorization.

415224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 415224 is about 644.3787706000. The cubic root of 415224 is about 74.6037771185.

Adding to 415224 its reverse (422514), we get a palindrome (837738).

The spelling of 415224 in words is "four hundred fifteen thousand, two hundred twenty-four".