415202216 has 64 divisors (see below), whose sum is σ = 928428480. Its totient is φ = 171578880.

The previous prime is 415202209. The next prime is 415202219. The reversal of 415202216 is 612202514.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 415202191 and 415202200.

It is not an unprimeable number, because it can be changed into a prime (415202219) 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, 73940 + ... + 79356.

It is an arithmetic number, because the mean of its divisors is an integer number (14506695).

Almost surely, 2^415202216 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 415202216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464214240).

415202216 is an abundant number, since it is smaller than the sum of its proper divisors (513226264).

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

415202216 is a wasteful number, since it uses less digits than its factorization.

415202216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5514 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 415202216 is about 20376.5113795272. The cubic root of 415202216 is about 746.0247244355.

The spelling of 415202216 in words is "four hundred fifteen million, two hundred two thousand, two hundred sixteen".