412253856 has 216 divisors, whose sum is σ = 1380322944. Its totient is φ = 116363520.

The previous prime is 412253833. The next prime is 412253867. The reversal of 412253856 is 658352214.

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

Its product of digits (57600) is a multiple of the sum of its prime factors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 412253856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1848561 + ... + 1848783.

It is an arithmetic number, because the mean of its divisors is an integer number (6390384).

Almost surely, 2^412253856 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 412253856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690161472).

412253856 is an abundant number, since it is smaller than the sum of its proper divisors (968069088).

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

412253856 is a wasteful number, since it uses less digits than its factorization.

412253856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 366 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 412253856 is about 20304.0354609619. The cubic root of 412253856 is about 744.2546821461.

The spelling of 412253856 in words is "four hundred twelve million, two hundred fifty-three thousand, eight hundred fifty-six".