415202220 has 192 divisors, whose sum is σ = 1412812800. Its totient is φ = 100776960.

The previous prime is 415202219. The next prime is 415202267. The reversal of 415202220 is 22202514.

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 = 415202193 and 415202202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283851 + ... + 285309.

It is an arithmetic number, because the mean of its divisors is an integer number (7358400).

Almost surely, 2^415202220 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 415202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706406400).

415202220 is an abundant number, since it is smaller than the sum of its proper divisors (997610580).

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

415202220 is a wasteful number, since it uses less digits than its factorization.

415202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1517 counting only the distinct ones).

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

The square root of 415202220 is about 20376.5114776794. The cubic root of 415202220 is about 746.0247268312.

Adding to 415202220 its reverse (22202514), we get a palindrome (437404734).

The spelling of 415202220 in words is "four hundred fifteen million, two hundred two thousand, two hundred twenty".