410816 has 42 divisors (see below), whose sum is σ = 955548. Its totient is φ = 174720.

The previous prime is 410807. The next prime is 410819. The reversal of 410816 is 618014.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 410816.

It is not an unprimeable number, because it can be changed into a prime (410819) by changing a digit.

410816 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 5 ways as a sum of consecutive naturals, for example, 3071 + ... + 3201.

2⁴¹⁰⁸¹⁶ 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 410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477774).

410816 is an abundant number, since it is smaller than the sum of its proper divisors (544732).

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

410816 is a wasteful number, since it uses less digits than its factorization.

410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 410816 is about 640.9492959665. The cubic root of 410816 is about 74.3388405544.

It can be divided in two parts, 4 and 10816, that multiplied together give a square (43264 = 208²).

The spelling of 410816 in words is "four hundred ten thousand, eight hundred sixteen".