413203340 has 96 divisors (see below), whose sum is σ = 1000581120. Its totient is φ = 141926400.

The previous prime is 413203337. The next prime is 413203361. The reversal of 413203340 is 43302314.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 292556 + ... + 293964.

It is an arithmetic number, because the mean of its divisors is an integer number (10422720).

Almost surely, 2^413203340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413203340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500290560).

413203340 is an abundant number, since it is smaller than the sum of its proper divisors (587377780).

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

413203340 is a wasteful number, since it uses less digits than its factorization.

413203340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 413203340 is about 20327.4036709069. The cubic root of 413203340 is about 744.8256216950.

Adding to 413203340 its reverse (43302314), we get a palindrome (456505654).

The spelling of 413203340 in words is "four hundred thirteen million, two hundred three thousand, three hundred forty".