413959 has 8 divisors (see below), whose sum is σ = 509600. Its totient is φ = 327456.

The previous prime is 413951. The next prime is 413981. The reversal of 413959 is 959314.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413959 - 2³ = 413951 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413959.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2184 + ... + 2365.

It is an arithmetic number, because the mean of its divisors is an integer number (63700).

2⁴¹³⁹⁵⁹ is an apocalyptic number.

413959 is a deficient number, since it is larger than the sum of its proper divisors (95641).

413959 is a wasteful number, since it uses less digits than its factorization.

413959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4569.

The product of its digits is 4860, while the sum is 31.

The square root of 413959 is about 643.3964563160. The cubic root of 413959 is about 74.5279387127.

The spelling of 413959 in words is "four hundred thirteen thousand, nine hundred fifty-nine".