413217360 has 120 divisors (see below), whose sum is σ = 1398958080. Its totient is φ = 109299456.

The previous prime is 413217359. The next prime is 413217391. The reversal of 413217360 is 63712314.

413217360 is a `hidden beast` number, since 413 + 217 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89181 + ... + 93699.

It is an arithmetic number, because the mean of its divisors is an integer number (11657984).

Almost surely, 2^413217360 is an apocalyptic number.

413217360 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 413217360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699479040).

413217360 is an abundant number, since it is smaller than the sum of its proper divisors (985740720).

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

413217360 is a wasteful number, since it uses less digits than its factorization.

413217360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 413217360 is about 20327.7485226476. The cubic root of 413217360 is about 744.8340455840.

Adding to 413217360 its reverse (63712314), we get a palindrome (476929674).

The spelling of 413217360 in words is "four hundred thirteen million, two hundred seventeen thousand, three hundred sixty".