413340525 has 72 divisors (see below), whose sum is σ = 801886176. Its totient is φ = 202320000.

The previous prime is 413340523. The next prime is 413340563. The reversal of 413340525 is 525043314.

413340525 is a `hidden beast` number, since 4 + 133 + 4 + 0 + 525 = 666.

It is not a de Polignac number, because 413340525 - 2¹ = 413340523 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413340523) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 733894 + ... + 734456.

It is an arithmetic number, because the mean of its divisors is an integer number (11137308).

Almost surely, 2^413340525 is an apocalyptic number.

413340525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413340525 is a deficient number, since it is larger than the sum of its proper divisors (388545651).

413340525 is a wasteful number, since it uses less digits than its factorization.

413340525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 413340525 is about 20330.7777765633. Note that the first 5 decimals coincide. The cubic root of 413340525 is about 744.9080408393.

Adding to 413340525 its reverse (525043314), we get a palindrome (938383839).

The spelling of 413340525 in words is "four hundred thirteen million, three hundred forty thousand, five hundred twenty-five".