415185220 has 48 divisors (see below), whose sum is σ = 932767920. Its totient is φ = 154681344.

The previous prime is 415185193. The next prime is 415185223. The reversal of 415185220 is 22581514.

It can be written as a sum of positive squares in 8 ways, for example, as 15745024 + 399440196 = 3968^2 + 19986^2 .

It is not an unprimeable number, because it can be changed into a prime (415185223) 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, 26686 + ... + 39274.

It is an arithmetic number, because the mean of its divisors is an integer number (19432665).

Almost surely, 2^415185220 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 415185220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466383960).

415185220 is an abundant number, since it is smaller than the sum of its proper divisors (517582700).

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

415185220 is a wasteful number, since it uses less digits than its factorization.

415185220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12712 (or 12710 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 415185220 is about 20376.0943264405. The cubic root of 415185220 is about 746.0145449706.

The spelling of 415185220 in words is "four hundred fifteen million, one hundred eighty-five thousand, two hundred twenty".