413342320 has 40 divisors (see below), whose sum is σ = 984468240. Its totient is φ = 161303040.

The previous prime is 413342311. The next prime is 413342329. The reversal of 413342320 is 23243314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413342311) and next prime (413342329).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 413342291 and 413342300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413342329) 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, 59730 + ... + 66289.

It is an arithmetic number, because the mean of its divisors is an integer number (24611706).

Almost surely, 2^413342320 is an apocalyptic number.

413342320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413342320 is an abundant number, since it is smaller than the sum of its proper divisors (571125920).

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

413342320 is a wasteful number, since it uses less digits than its factorization.

413342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126073 (or 126067 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 413342320 is about 20330.8219214079. The cubic root of 413342320 is about 744.9091191335.

Adding to 413342320 its reverse (23243314), we get a palindrome (436585634).

The spelling of 413342320 in words is "four hundred thirteen million, three hundred forty-two thousand, three hundred twenty".