413141430 has 128 divisors (see below), whose sum is σ = 1101639168. Its totient is φ = 98537472.

The previous prime is 413141411. The next prime is 413141431. The reversal of 413141430 is 34141314.

It is a junction number, because it is equal to n+sod(n) for n = 413141397 and 413141406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413141431) 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 63 ways as a sum of consecutive naturals, for example, 2534529 + ... + 2534691.

It is an arithmetic number, because the mean of its divisors is an integer number (8606556).

Almost surely, 2^413141430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413141430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550819584).

413141430 is an abundant number, since it is smaller than the sum of its proper divisors (688497738).

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

413141430 is a wasteful number, since it uses less digits than its factorization.

413141430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 413141430 is about 20325.8807927234. The cubic root of 413141430 is about 744.7884209168.

Adding to 413141430 its reverse (34141314), we get a palindrome (447282744).

The spelling of 413141430 in words is "four hundred thirteen million, one hundred forty-one thousand, four hundred thirty".