413431353 has 12 divisors (see below), whose sum is σ = 597357540. Its totient is φ = 275538336.

The previous prime is 413431307. The next prime is 413431423. The reversal of 413431353 is 353134314.

It can be written as a sum of positive squares in 2 ways, for example, as 16744464 + 396686889 = 4092^2 + 19917^2 .

It is not a de Polignac number, because 413431353 - 2⁶ = 413431289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413431553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47203 + ... + 55271.

It is an arithmetic number, because the mean of its divisors is an integer number (49779795).

Almost surely, 2^413431353 is an apocalyptic number.

It is an amenable number.

413431353 is a deficient number, since it is larger than the sum of its proper divisors (183926187).

413431353 is a wasteful number, since it uses less digits than its factorization.

413431353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13768 (or 13765 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 413431353 is about 20333.0114100199. The cubic root of 413431353 is about 744.9625992065.

Adding to 413431353 its reverse (353134314), we get a palindrome (766565667).

The spelling of 413431353 in words is "four hundred thirteen million, four hundred thirty-one thousand, three hundred fifty-three".