412257216 has 56 divisors (see below), whose sum is σ = 1246591360. Its totient is φ = 117787392.

The previous prime is 412257203. The next prime is 412257217. The reversal of 412257216 is 612752214.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412257217) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 152026 + ... + 154713.

It is an arithmetic number, because the mean of its divisors is an integer number (22260560).

Almost surely, 2^412257216 is an apocalyptic number.

It is an amenable number.

412257216 is an abundant number, since it is smaller than the sum of its proper divisors (834334144).

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

412257216 is a wasteful number, since it uses less digits than its factorization.

412257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306761 (or 306751 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 412257216 is about 20304.1182029656. The cubic root of 412257216 is about 744.2567041114.

The spelling of 412257216 in words is "four hundred twelve million, two hundred fifty-seven thousand, two hundred sixteen".