413549568 has 132 divisors (see below), whose sum is σ = 1246672128. Its totient is φ = 131788800.

The previous prime is 413549557. The next prime is 413549593. The reversal of 413549568 is 865945314.

413549568 is a `hidden beast` number, since 41 + 3 + 5 + 49 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210993 + ... + 212943.

Almost surely, 2^413549568 is an apocalyptic number.

413549568 is a gapful number since it is divisible by the number (48) 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 413549568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623336064).

413549568 is an abundant number, since it is smaller than the sum of its proper divisors (833122560).

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

413549568 is a wasteful number, since it uses less digits than its factorization.

413549568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1979 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 413549568 is about 20335.9181745010. The cubic root of 413549568 is about 745.0335963709.

The spelling of 413549568 in words is "four hundred thirteen million, five hundred forty-nine thousand, five hundred sixty-eight".