413360320 has 56 divisors (see below), whose sum is σ = 987698304. Its totient is φ = 164775936.

The previous prime is 413360317. The next prime is 413360329. The reversal of 413360320 is 23063314.

It is a junction number, because it is equal to n+sod(n) for n = 413360291 and 413360300.

It is not an unprimeable number, because it can be changed into a prime (413360329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98097 + ... + 102223.

Almost surely, 2^413360320 is an apocalyptic number.

413360320 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 413360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493849152).

413360320 is an abundant number, since it is smaller than the sum of its proper divisors (574337984).

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

413360320 is a wasteful number, since it uses less digits than its factorization.

413360320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 413360320 is about 20331.2645942155. The cubic root of 413360320 is about 744.9199319383.

The spelling of 413360320 in words is "four hundred thirteen million, three hundred sixty thousand, three hundred twenty".