412684288 has 52 divisors (see below), whose sum is σ = 841281228. Its totient is φ = 202342400.

The previous prime is 412684277. The next prime is 412684301. The reversal of 412684288 is 882486214.

It can be written as a sum of positive squares in 2 ways, for example, as 152571904 + 260112384 = 12352^2 + 16128^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216138 + ... + 218038.

Almost surely, 2^412684288 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 412684288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420640614).

412684288 is an abundant number, since it is smaller than the sum of its proper divisors (428596940).

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

412684288 is an equidigital number, since it uses as much as digits as its factorization.

412684288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1956 counting only the distinct ones).

The product of its digits is 196608, while the sum is 43.

The square root of 412684288 is about 20314.6323619208. The cubic root of 412684288 is about 744.5136161331.

The spelling of 412684288 in words is "four hundred twelve million, six hundred eighty-four thousand, two hundred eighty-eight".