413416 has 16 divisors (see below), whose sum is σ = 800640. Its totient is φ = 199920.

The previous prime is 413411. The next prime is 413417. The reversal of 413416 is 614314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 413393 and 413402.

It is not an unprimeable number, because it can be changed into a prime (413411) 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, 586 + ... + 1081.

It is an arithmetic number, because the mean of its divisors is an integer number (50040).

2⁴¹³⁴¹⁶ is an apocalyptic number.

It is an amenable number.

413416 is a deficient number, since it is larger than the sum of its proper divisors (387224).

413416 is a wasteful number, since it uses less digits than its factorization.

413416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1700 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 413416 is about 642.9743385237. The cubic root of 413416 is about 74.4953377561.

The spelling of 413416 in words is "four hundred thirteen thousand, four hundred sixteen".