412065456 has 80 divisors (see below), whose sum is σ = 1172924928. Its totient is φ = 123616000.

The previous prime is 412065443. The next prime is 412065463. The reversal of 412065456 is 654560214.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49465 + ... + 57191.

Almost surely, 2^412065456 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 412065456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586462464).

412065456 is an abundant number, since it is smaller than the sum of its proper divisors (760859472).

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

412065456 is a wasteful number, since it uses less digits than its factorization.

412065456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7850 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 412065456 is about 20299.3954589786. The cubic root of 412065456 is about 744.1412900817.

The spelling of 412065456 in words is "four hundred twelve million, sixty-five thousand, four hundred fifty-six".