413643560 has 64 divisors (see below), whose sum is σ = 1019347200. Its totient is φ = 149817600.

The previous prime is 413643551. The next prime is 413643577. The reversal of 413643560 is 65346314.

It is a super-2 number, since 2×413643560² = 342201989458947200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117506 + ... + 120974.

It is an arithmetic number, because the mean of its divisors is an integer number (15927300).

Almost surely, 2^413643560 is an apocalyptic number.

413643560 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 413643560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509673600).

413643560 is an abundant number, since it is smaller than the sum of its proper divisors (605703640).

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

413643560 is a wasteful number, since it uses less digits than its factorization.

413643560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 413643560 is about 20338.2290281135. The cubic root of 413643560 is about 745.0900361132.

Adding to 413643560 its reverse (65346314), we get a palindrome (478989874).

The spelling of 413643560 in words is "four hundred thirteen million, six hundred forty-three thousand, five hundred sixty".