413933 has 8 divisors (see below), whose sum is σ = 472248. Its totient is φ = 359424.

The previous prime is 413923. The next prime is 413951. The reversal of 413933 is 339314.

It can be written as a sum of positive squares in 4 ways, for example, as 484 + 413449 = 22^2 + 643^2 .

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

It is not a de Polignac number, because 413933 - 2⁶ = 413869 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 413899 and 413908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413923) 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, 716 + ... + 1157.

It is an arithmetic number, because the mean of its divisors is an integer number (59031).

2⁴¹³⁹³³ is an apocalyptic number.

It is an amenable number.

413933 is a deficient number, since it is larger than the sum of its proper divisors (58315).

413933 is a wasteful number, since it uses less digits than its factorization.

413933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903.

The product of its digits is 972, while the sum is 23.

The square root of 413933 is about 643.3762507274. The cubic root of 413933 is about 74.5263783593.

The spelling of 413933 in words is "four hundred thirteen thousand, nine hundred thirty-three".