413707 has 6 divisors (see below), whose sum is σ = 481308. Its totient is φ = 354564.

The previous prime is 413689. The next prime is 413711. The reversal of 413707 is 707314.

It is not a de Polignac number, because 413707 - 2⁷ = 413579 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (413737) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4173 + ... + 4270.

It is an arithmetic number, because the mean of its divisors is an integer number (80218).

2⁴¹³⁷⁰⁷ is an apocalyptic number.

413707 is a deficient number, since it is larger than the sum of its proper divisors (67601).

413707 is an equidigital number, since it uses as much as digits as its factorization.

413707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8457 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 413707 is about 643.2005907957. The cubic root of 413707 is about 74.5128125344.

The spelling of 413707 in words is "four hundred thirteen thousand, seven hundred seven".