412248096 has 288 divisors, whose sum is σ = 1386362880. Its totient is φ = 118444032.

The previous prime is 412248077. The next prime is 412248103. The reversal of 412248096 is 690842214.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 412248096.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3245985 + ... + 3246111.

It is an arithmetic number, because the mean of its divisors is an integer number (4813760).

Almost surely, 2^412248096 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 412248096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693181440).

412248096 is an abundant number, since it is smaller than the sum of its proper divisors (974114784).

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

412248096 is a wasteful number, since it uses less digits than its factorization.

412248096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 412248096 is about 20303.8936167426. The cubic root of 412248096 is about 744.2512158944.

The spelling of 412248096 in words is "four hundred twelve million, two hundred forty-eight thousand, ninety-six".