415220 has 24 divisors (see below), whose sum is σ = 939624. Its totient is φ = 153216.

The previous prime is 415213. The next prime is 415231. The reversal of 415220 is 22514.

415220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 484 + 414736 = 22^2 + 644^2 .

It is a junction number, because it is equal to n+sod(n) for n = 415195 and 415204.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 539 + ... + 1058.

It is an arithmetic number, because the mean of its divisors is an integer number (39151).

2⁴¹⁵²²⁰ is an apocalyptic number.

It is an amenable number.

415220 is an abundant number, since it is smaller than the sum of its proper divisors (524404).

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

415220 is a wasteful number, since it uses less digits than its factorization.

415220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 415220 is about 644.3756668280. The cubic root of 415220 is about 74.6035375562.

Adding to 415220 its reverse (22514), we get a palindrome (437734).

The spelling of 415220 in words is "four hundred fifteen thousand, two hundred twenty".