413508 has 24 divisors (see below), whose sum is σ = 1022112. Its totient is φ = 129664.

The previous prime is 413477. The next prime is 413521. The reversal of 413508 is 805314.

It is an unprimeable number.

413508 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 810 + ... + 1217.

It is an arithmetic number, because the mean of its divisors is an integer number (42588).

2⁴¹³⁵⁰⁸ is an apocalyptic number.

It is an amenable number.

413508 is an abundant number, since it is smaller than the sum of its proper divisors (608604).

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

413508 is a wasteful number, since it uses less digits than its factorization.

413508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 413508 is about 643.0458770570. The cubic root of 413508 is about 74.5008633145.

The spelling of 413508 in words is "four hundred thirteen thousand, five hundred eight".