413616 has 40 divisors (see below), whose sum is σ = 1222144. Its totient is φ = 118080.

The previous prime is 413597. The next prime is 413629. The reversal of 413616 is 616314.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 413592 and 413601.

It is an unprimeable number.

413616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 951.

2⁴¹³⁶¹⁶ is an apocalyptic number.

It is an amenable number.

413616 is an abundant number, since it is smaller than the sum of its proper divisors (808528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413616 is a wasteful number, since it uses less digits than its factorization.

413616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1243 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 413616 is about 643.1298469205. The cubic root of 413616 is about 74.5073487939.

Subtracting from 413616 its sum of digits (21), we obtain a triangular number (413595 = T₉₀₉).

The spelling of 413616 in words is "four hundred thirteen thousand, six hundred sixteen".