4509216 has 96 divisors (see below), whose sum is σ = 13970880. Its totient is φ = 1410048.

The previous prime is 4509209. The next prime is 4509223. The reversal of 4509216 is 6129054.

It is an interprime number because it is at equal distance from previous prime (4509209) and next prime (4509223).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 4509216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14535 + ... + 14841.

It is an arithmetic number, because the mean of its divisors is an integer number (145530).

Almost surely, 2^4509216 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 4509216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985440).

4509216 is an abundant number, since it is smaller than the sum of its proper divisors (9461664).

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

4509216 is a wasteful number, since it uses less digits than its factorization.

4509216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4509216 is about 2123.4914645461. The cubic root of 4509216 is about 165.2089913751.

Adding to 4509216 its product of nonzero digits (2160), we get a square (4511376 = 2124²).

The spelling of 4509216 in words is "four million, five hundred nine thousand, two hundred sixteen".