413506827 has 24 divisors (see below), whose sum is σ = 638707680. Its totient is φ = 256876800.

The previous prime is 413506817. The next prime is 413506837. The reversal of 413506827 is 728605314.

It is an interprime number because it is at equal distance from previous prime (413506817) and next prime (413506837).

It is not a de Polignac number, because 413506827 - 2⁶ = 413506763 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413506791 and 413506800.

It is not an unprimeable number, because it can be changed into a prime (413506817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2074 + ... + 28832.

It is an arithmetic number, because the mean of its divisors is an integer number (26612820).

Almost surely, 2^413506827 is an apocalyptic number.

413506827 is a deficient number, since it is larger than the sum of its proper divisors (225200853).

413506827 is a wasteful number, since it uses less digits than its factorization.

413506827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26883 (or 26880 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 413506827 is about 20334.8672727412. The cubic root of 413506827 is about 745.0079286876.

The spelling of 413506827 in words is "four hundred thirteen million, five hundred six thousand, eight hundred twenty-seven".