403216 has 40 divisors (see below), whose sum is σ = 892800. Its totient is φ = 174720.

The previous prime is 403181. The next prime is 403219. The reversal of 403216 is 612304.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 403216.

It is not an unprimeable number, because it can be changed into a prime (403219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5065 + ... + 5143.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2⁴⁰³²¹⁶ 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 403216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400).

403216 is an abundant number, since it is smaller than the sum of its proper divisors (489584).

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

403216 is a wasteful number, since it uses less digits than its factorization.

403216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 403216 is about 634.9929133463. The cubic root of 403216 is about 73.8775672086.

The spelling of 403216 in words is "four hundred three thousand, two hundred sixteen".