412716024 has 288 divisors, whose sum is σ = 1408492800. Its totient is φ = 108501120.

The previous prime is 412716001. The next prime is 412716041. The reversal of 412716024 is 420617214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3150439 + ... + 3150569.

It is an arithmetic number, because the mean of its divisors is an integer number (4890600).

Almost surely, 2^412716024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412716024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704246400).

412716024 is an abundant number, since it is smaller than the sum of its proper divisors (995776776).

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

412716024 is a wasteful number, since it uses less digits than its factorization.

412716024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 412716024 is about 20315.4134587510. The cubic root of 412716024 is about 744.5327003573.

The spelling of 412716024 in words is "four hundred twelve million, seven hundred sixteen thousand, twenty-four".