413999 has 4 divisors (see below), whose sum is σ = 418200. Its totient is φ = 409800.

The previous prime is 413981. The next prime is 414013. The reversal of 413999 is 999314.

413999 = 7² + 8² + ... + 107².

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 413999 - 2¹⁶ = 348463 is a prime.

It is a Duffinian number.

413999 is a modest number, since divided by 999 gives 413 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413299) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1949 + ... + 2150.

It is an arithmetic number, because the mean of its divisors is an integer number (104550).

2⁴¹³⁹⁹⁹ is an apocalyptic number.

413999 is a deficient number, since it is larger than the sum of its proper divisors (4201).

413999 is a wasteful number, since it uses less digits than its factorization.

413999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200.

The product of its digits is 8748, while the sum is 35.

The square root of 413999 is about 643.4275405980. The cubic root of 413999 is about 74.5303391288.

The spelling of 413999 in words is "four hundred thirteen thousand, nine hundred ninety-nine".