413330560 has 96 divisors (see below), whose sum is σ = 1043444700. Its totient is φ = 156542976.

The previous prime is 413330557. The next prime is 413330563. The reversal of 413330560 is 65033314.

It is an interprime number because it is at equal distance from previous prime (413330557) and next prime (413330563).

It can be written as a sum of positive squares in 2 ways, for example, as 396487744 + 16842816 = 19912^2 + 4104^2 .

It is not an unprimeable number, because it can be changed into a prime (413330563) 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 11 ways as a sum of consecutive naturals, for example, 230146 + ... + 231934.

Almost surely, 2^413330560 is an apocalyptic number.

413330560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521722350).

413330560 is an abundant number, since it is smaller than the sum of its proper divisors (630114140).

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

413330560 is a wasteful number, since it uses less digits than its factorization.

413330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 413330560 is about 20330.5327033012. The cubic root of 413330560 is about 744.9020545981.

Adding to 413330560 its reverse (65033314), we get a palindrome (478363874).

The spelling of 413330560 in words is "four hundred thirteen million, three hundred thirty thousand, five hundred sixty".