410643216 has 80 divisors (see below), whose sum is σ = 1198097920. Its totient is φ = 134628480.

The previous prime is 410643199. The next prime is 410643217. The reversal of 410643216 is 612346014.

410643216 is a `hidden beast` number, since 4 + 1 + 0 + 643 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 410643216.

It is not an unprimeable number, because it can be changed into a prime (410643217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18561 + ... + 34143.

It is an arithmetic number, because the mean of its divisors is an integer number (14976224).

Almost surely, 2^410643216 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 410643216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599048960).

410643216 is an abundant number, since it is smaller than the sum of its proper divisors (787454704).

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

410643216 is a wasteful number, since it uses less digits than its factorization.

410643216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15661 (or 15649 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 410643216 is about 20264.3335937800. Note that the first 3 decimals coincide. The cubic root of 410643216 is about 743.2841710176.

The spelling of 410643216 in words is "four hundred ten million, six hundred forty-three thousand, two hundred sixteen".