4517216 has 48 divisors (see below), whose sum is σ = 9970128. Its totient is φ = 1996800.

The previous prime is 4517213. The next prime is 4517237. The reversal of 4517216 is 6127154.

It is an Ulam number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4517213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14276 + ... + 14588.

It is an arithmetic number, because the mean of its divisors is an integer number (207711).

Almost surely, 2^4517216 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 4517216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985064).

4517216 is an abundant number, since it is smaller than the sum of its proper divisors (5452912).

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

4517216 is a wasteful number, since it uses less digits than its factorization.

4517216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 4517216 is about 2125.3743199728. The cubic root of 4517216 is about 165.3066351849.

It can be divided in two parts, 451 and 7216, that multiplied together give a square (3254416 = 1804²).

The spelling of 4517216 in words is "four million, five hundred seventeen thousand, two hundred sixteen".