407216 has 20 divisors (see below), whose sum is σ = 815424. Its totient is φ = 196800.

The previous prime is 407207. The next prime is 407219. The reversal of 407216 is 612704.

407216 is an admirable number.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407216.

It is not an unprimeable number, because it can be changed into a prime (407219) by changing a digit.

407216 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 3 ways as a sum of consecutive naturals, for example, 86 + ... + 906.

2⁴⁰⁷²¹⁶ 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 407216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407712).

407216 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

407216 is a wasteful number, since it uses less digits than its factorization.

407216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 407216 is about 638.1347820014. The cubic root of 407216 is about 74.1210582417.

The spelling of 407216 in words is "four hundred seven thousand, two hundred sixteen".