412772256 has 144 divisors (see below), whose sum is σ = 1295428680. Its totient is φ = 123863040.

The previous prime is 412772251. The next prime is 412772263. The reversal of 412772256 is 652277214.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63680400 + 349091856 = 7980^2 + 18684^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 412772256.

It is not an unprimeable number, because it can be changed into a prime (412772251) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 152160 + ... + 154848.

Almost surely, 2^412772256 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 412772256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647714340).

412772256 is an abundant number, since it is smaller than the sum of its proper divisors (882656424).

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

412772256 is a wasteful number, since it uses less digits than its factorization.

412772256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2748 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 412772256 is about 20316.7973854149. The cubic root of 412772256 is about 744.5665126795.

The spelling of 412772256 in words is "four hundred twelve million, seven hundred seventy-two thousand, two hundred fifty-six".