413904133 has 8 divisors (see below), whose sum is σ = 416745368. Its totient is φ = 411070464.

The previous prime is 413904119. The next prime is 413904167. The reversal of 413904133 is 331409314.

It can be written as a sum of positive squares in 4 ways, for example, as 27899524 + 386004609 = 5282^2 + 19647^2 .

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 413904133 - 2⁹ = 413903621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413904193) 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, 144685 + ... + 147517.

It is an arithmetic number, because the mean of its divisors is an integer number (52093171).

Almost surely, 2^413904133 is an apocalyptic number.

It is an amenable number.

413904133 is a deficient number, since it is larger than the sum of its proper divisors (2841235).

413904133 is a wasteful number, since it uses less digits than its factorization.

413904133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783.

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 413904133 is about 20344.6340099791. The cubic root of 413904133 is about 745.2464587042.

The spelling of 413904133 in words is "four hundred thirteen million, nine hundred four thousand, one hundred thirty-three".