413333245600 has 288 divisors, whose sum is σ = 1144914220800. Its totient is φ = 144380620800.

The previous prime is 413333245597. The next prime is 413333245609. The reversal of 413333245600 is 6542333314.

It is not an unprimeable number, because it can be changed into a prime (413333245609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25714366 + ... + 25730434.

It is an arithmetic number, because the mean of its divisors is an integer number (3975396600).

Almost surely, 2^413333245600 is an apocalyptic number.

413333245600 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 413333245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572457110400).

413333245600 is an abundant number, since it is smaller than the sum of its proper divisors (731580975200).

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

413333245600 is a wasteful number, since it uses less digits than its factorization.

413333245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16216 (or 16203 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

Adding to 413333245600 its reverse (6542333314), we get a palindrome (419875578914).

The spelling of 413333245600 in words is "four hundred thirteen billion, three hundred thirty-three million, two hundred forty-five thousand, six hundred".