413405512 has 64 divisors (see below), whose sum is σ = 857304000. Its totient is φ = 185712384.

The previous prime is 413405449. The next prime is 413405513. The reversal of 413405512 is 215504314.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (413405513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986439 + ... + 986857.

It is an arithmetic number, because the mean of its divisors is an integer number (13395375).

Almost surely, 2^413405512 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 413405512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428652000).

413405512 is an abundant number, since it is smaller than the sum of its proper divisors (443898488).

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

413405512 is a wasteful number, since it uses less digits than its factorization.

413405512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 413405512 is about 20332.3759556034. The cubic root of 413405512 is about 744.9470779037.

Adding to 413405512 its reverse (215504314), we get a palindrome (628909826).

The spelling of 413405512 in words is "four hundred thirteen million, four hundred five thousand, five hundred twelve".