413904 has 20 divisors (see below), whose sum is σ = 1069376. Its totient is φ = 137952.

The previous prime is 413887. The next prime is 413911. The reversal of 413904 is 409314.

It is a congruent number.

It is an unprimeable number.

413904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4264 + ... + 4359.

2⁴¹³⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

413904 is an abundant number, since it is smaller than the sum of its proper divisors (655472).

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

413904 is a wasteful number, since it uses less digits than its factorization.

413904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 413904 is about 643.3537129760. The cubic root of 413904 is about 74.5246378881.

The spelling of 413904 in words is "four hundred thirteen thousand, nine hundred four".