412201216 has 144 divisors (see below), whose sum is σ = 1001919744. Its totient is φ = 165445632.

The previous prime is 412201211. The next prime is 412201241. The reversal of 412201216 is 612102214.

It is a junction number, because it is equal to n+sod(n) for n = 412201193 and 412201202.

It is not an unprimeable number, because it can be changed into a prime (412201211) 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, 3008700 + ... + 3008836.

It is an arithmetic number, because the mean of its divisors is an integer number (6957776).

Almost surely, 2^412201216 is an apocalyptic number.

412201216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500959872).

412201216 is an abundant number, since it is smaller than the sum of its proper divisors (589718528).

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

412201216 is a wasteful number, since it uses less digits than its factorization.

412201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 412201216 is about 20302.7391255466. The cubic root of 412201216 is about 744.2230032558.

It can be divided in two parts, 41220 and 1216, that added together give a square (42436 = 206²).

The spelling of 412201216 in words is "four hundred twelve million, two hundred one thousand, two hundred sixteen".