413216 has 24 divisors (see below), whose sum is σ = 837900. Its totient is φ = 200448.

The previous prime is 413207. The next prime is 413233. The reversal of 413216 is 612314.

It can be written as a sum of positive squares in 2 ways, for example, as 364816 + 48400 = 604^2 + 220^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413194 and 413203.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1010 + ... + 1358.

2⁴¹³²¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418950).

413216 is an abundant number, since it is smaller than the sum of its proper divisors (424684).

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

413216 is a wasteful number, since it uses less digits than its factorization.

413216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 413216 is about 642.8187925069. The cubic root of 413216 is about 74.4833228439.

The spelling of 413216 in words is "four hundred thirteen thousand, two hundred sixteen".