413306720 has 192 divisors, whose sum is σ = 1093430016. Its totient is φ = 146964480.

The previous prime is 413306713. The next prime is 413306743. The reversal of 413306720 is 27603314.

It is a self number, because there is not a number n which added to its sum of digits gives 413306720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6775490 + ... + 6775550.

It is an arithmetic number, because the mean of its divisors is an integer number (5694948).

Almost surely, 2^413306720 is an apocalyptic number.

413306720 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 413306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546715008).

413306720 is an abundant number, since it is smaller than the sum of its proper divisors (680123296).

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

413306720 is a wasteful number, since it uses less digits than its factorization.

413306720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 413306720 is about 20329.9463845825. The cubic root of 413306720 is about 744.8877328839.

The spelling of 413306720 in words is "four hundred thirteen million, three hundred six thousand, seven hundred twenty".