412914216 has 128 divisors (see below), whose sum is σ = 1265725440. Its totient is φ = 110457600.

The previous prime is 412914197. The next prime is 412914221. The reversal of 412914216 is 612419214.

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 31 ways as a sum of consecutive naturals, for example, 76321 + ... + 81551.

It is an arithmetic number, because the mean of its divisors is an integer number (9888480).

Almost surely, 2^412914216 is an apocalyptic number.

412914216 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 412914216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632862720).

412914216 is an abundant number, since it is smaller than the sum of its proper divisors (852811224).

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

412914216 is a wasteful number, since it uses less digits than its factorization.

412914216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5283 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 412914216 is about 20320.2907459514. The cubic root of 412914216 is about 744.6518596197.

It can be divided in two parts, 412 and 914216, that added together give a triangular number (914628 = T₁₃₅₂).

The spelling of 412914216 in words is "four hundred twelve million, nine hundred fourteen thousand, two hundred sixteen".