413424585 has 24 divisors (see below), whose sum is σ = 818975040. Its totient is φ = 188993952.

The previous prime is 413424559. The next prime is 413424601. The reversal of 413424585 is 585424314.

It is a happy number.

413424585 is a `hidden beast` number, since 41 + 34 + 2 + 4 + 585 = 666.

It is not a de Polignac number, because 413424585 - 2⁶ = 413424521 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655915 + ... + 656544.

It is an arithmetic number, because the mean of its divisors is an integer number (34123960).

Almost surely, 2^413424585 is an apocalyptic number.

413424585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413424585 is a deficient number, since it is larger than the sum of its proper divisors (405550455).

413424585 is a wasteful number, since it uses less digits than its factorization.

413424585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312477 (or 1312474 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 413424585 is about 20332.8449804743. The cubic root of 413424585 is about 744.9585340944.

Adding to 413424585 its reverse (585424314), we get a palindrome (998848899).

The spelling of 413424585 in words is "four hundred thirteen million, four hundred twenty-four thousand, five hundred eighty-five".