412017216 has 112 divisors (see below), whose sum is σ = 1225198464. Its totient is φ = 121245696.

The previous prime is 412017209. The next prime is 412017227. The reversal of 412017216 is 612710214.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 53820 + ... + 60996.

It is an arithmetic number, because the mean of its divisors is an integer number (10939272).

Almost surely, 2^412017216 is an apocalyptic number.

412017216 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 412017216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612599232).

412017216 is an abundant number, since it is smaller than the sum of its proper divisors (813181248).

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

412017216 is a wasteful number, since it uses less digits than its factorization.

412017216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7228 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 412017216 is about 20298.2072114756. The cubic root of 412017216 is about 744.1122503776.

The spelling of 412017216 in words is "four hundred twelve million, seventeen thousand, two hundred sixteen".