415343202304 has 52 divisors (see below), whose sum is σ = 830999720980. Its totient is φ = 207567912960.

The previous prime is 415343202301. The next prime is 415343202311. The reversal of 415343202304 is 403202343514.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 160358600704 + 254984601600 = 400448^2 + 504960^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415343202301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8532274 + ... + 8580814.

It is an arithmetic number, because the mean of its divisors is an integer number (15980763865).

Almost surely, 2^415343202304 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 415343202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415499860490).

415343202304 is an abundant number, since it is smaller than the sum of its proper divisors (415656518676).

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

415343202304 is an equidigital number, since it uses as much as digits as its factorization.

415343202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50654 (or 50632 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 415343202304 its reverse (403202343514), we get a palindrome (818545545818).

The spelling of 415343202304 in words is "four hundred fifteen billion, three hundred forty-three million, two hundred two thousand, three hundred four".