415002224 has 80 divisors (see below), whose sum is σ = 1006602240. Its totient is φ = 161360640.

The previous prime is 415002223. The next prime is 415002227. The reversal of 415002224 is 422200514.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 415002196 and 415002205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415002223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83489 + ... + 88319.

It is an arithmetic number, because the mean of its divisors is an integer number (12582528).

Almost surely, 2^415002224 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 415002224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503301120).

415002224 is an abundant number, since it is smaller than the sum of its proper divisors (591600016).

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

415002224 is a wasteful number, since it uses less digits than its factorization.

415002224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 415002224 is about 20371.6033733234. The cubic root of 415002224 is about 745.9049250282.

Adding to 415002224 its reverse (422200514), we get a palindrome (837202738).

The spelling of 415002224 in words is "four hundred fifteen million, two thousand, two hundred twenty-four".