412013312 has 72 divisors (see below), whose sum is σ = 856517760. Its totient is φ = 197591040.

The previous prime is 412013311. The next prime is 412013323. The reversal of 412013312 is 213310214.

It is not an unprimeable number, because it can be changed into a prime (412013311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1531514 + ... + 1531782.

It is an arithmetic number, because the mean of its divisors is an integer number (11896080).

Almost surely, 2^412013312 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 412013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428258880).

412013312 is an abundant number, since it is smaller than the sum of its proper divisors (444504448).

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

412013312 is a wasteful number, since it uses less digits than its factorization.

412013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 412013312 is about 20298.1110451194. Note that the first 3 decimals coincide. The cubic root of 412013312 is about 744.1099001333.

Adding to 412013312 its reverse (213310214), we get a palindrome (625323526).

The spelling of 412013312 in words is "four hundred twelve million, thirteen thousand, three hundred twelve".