413816 has 32 divisors (see below), whose sum is σ = 876960. Its totient is φ = 181632.

The previous prime is 413807. The next prime is 413827. The reversal of 413816 is 618314.

413816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 413791 and 413800.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413816.

It is an unprimeable number.

413816 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, 2306 + ... + 2478.

It is an arithmetic number, because the mean of its divisors is an integer number (27405).

2⁴¹³⁸¹⁶ is an apocalyptic number.

413816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438480).

413816 is an abundant number, since it is smaller than the sum of its proper divisors (463144).

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

413816 is a wasteful number, since it uses less digits than its factorization.

413816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 413816 is about 643.2853177246. The cubic root of 413816 is about 74.5193559604.

The spelling of 413816 in words is "four hundred thirteen thousand, eight hundred sixteen".