413444512 has 48 divisors (see below), whose sum is σ = 900306792. Its totient is φ = 185656320.

The previous prime is 413444501. The next prime is 413444531. The reversal of 413444512 is 215444314.

It can be written as a sum of positive squares in 4 ways, for example, as 253573776 + 159870736 = 15924^2 + 12644^2 .

It is an unprimeable number.

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, 1962 + ... + 28822.

Almost surely, 2^413444512 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 413444512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450153396).

413444512 is an abundant number, since it is smaller than the sum of its proper divisors (486862280).

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

413444512 is a wasteful number, since it uses less digits than its factorization.

413444512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26921 (or 26913 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The square root of 413444512 is about 20333.3349945355. The cubic root of 413444512 is about 744.9705028635.

Adding to 413444512 its reverse (215444314), we get a palindrome (628888826).

The spelling of 413444512 in words is "four hundred thirteen million, four hundred forty-four thousand, five hundred twelve".