413715 has 8 divisors (see below), whose sum is σ = 661968. Its totient is φ = 220640.

The previous prime is 413713. The next prime is 413719. The reversal of 413715 is 517314.

413715 = 73² + 74² + ... + 117².

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

It is not a de Polignac number, because 413715 - 2¹ = 413713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413691 and 413700.

It is not an unprimeable number, because it can be changed into a prime (413711) 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 7 ways as a sum of consecutive naturals, for example, 13776 + ... + 13805.

It is an arithmetic number, because the mean of its divisors is an integer number (82746).

2⁴¹³⁷¹⁵ is an apocalyptic number.

413715 is a deficient number, since it is larger than the sum of its proper divisors (248253).

413715 is a wasteful number, since it uses less digits than its factorization.

413715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27589.

The product of its digits is 420, while the sum is 21.

The square root of 413715 is about 643.2068096654. The cubic root of 413715 is about 74.5132928250.

It can be divided in two parts, 413 and 715, that added together give a triangular number (1128 = T₄₇).

The spelling of 413715 in words is "four hundred thirteen thousand, seven hundred fifteen".