413361760 has 96 divisors (see below), whose sum is σ = 1124020800. Its totient is φ = 140716032.

The previous prime is 413361731. The next prime is 413361799. The reversal of 413361760 is 67163314.

It is a congruent number.

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, 165642 + ... + 168118.

It is an arithmetic number, because the mean of its divisors is an integer number (11708550).

Almost surely, 2^413361760 is an apocalyptic number.

413361760 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 413361760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562010400).

413361760 is an abundant number, since it is smaller than the sum of its proper divisors (710659040).

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

413361760 is a wasteful number, since it uses less digits than its factorization.

413361760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 413361760 is about 20331.3000076237. The cubic root of 413361760 is about 744.9207969491.

The spelling of 413361760 in words is "four hundred thirteen million, three hundred sixty-one thousand, seven hundred sixty".