412718208 has 128 divisors (see below), whose sum is σ = 1276974720. Its totient is φ = 115654656.

The previous prime is 412718203. The next prime is 412718237. The reversal of 412718208 is 802817214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (412718203) 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, 141016 + ... + 143912.

It is an arithmetic number, because the mean of its divisors is an integer number (9976365).

Almost surely, 2^412718208 is an apocalyptic number.

412718208 is a gapful number since it is divisible by the number (48) 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 412718208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638487360).

412718208 is an abundant number, since it is smaller than the sum of its proper divisors (864256512).

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

412718208 is a wasteful number, since it uses less digits than its factorization.

412718208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 412718208 is about 20315.4672109701. The cubic root of 412718208 is about 744.5340136546.

The spelling of 412718208 in words is "four hundred twelve million, seven hundred eighteen thousand, two hundred eight".