411616 has 24 divisors (see below), whose sum is σ = 854280. Its totient is φ = 194688.

The previous prime is 411613. The next prime is 411617. The reversal of 411616 is 616114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 411593 and 411602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411611) 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, 270 + ... + 946.

It is an arithmetic number, because the mean of its divisors is an integer number (35595).

2⁴¹¹⁶¹⁶ 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 411616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427140).

411616 is an abundant number, since it is smaller than the sum of its proper divisors (442664).

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

411616 is a wasteful number, since it uses less digits than its factorization.

411616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 411616 is about 641.5730667664. The cubic root of 411616 is about 74.3870636929.

It can be divided in two parts, 4116 and 16, that multiplied together give a palindrome (65856).

The spelling of 411616 in words is "four hundred eleven thousand, six hundred sixteen".