452205216 has 144 divisors (see below), whose sum is σ = 1321453224. Its totient is φ = 146644992.

The previous prime is 452205203. The next prime is 452205223. The reversal of 452205216 is 612502254.

452205216 is a `hidden beast` number, since 452 + 205 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 376515216 + 75690000 = 19404^2 + 8700^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×452205216³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 452205216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2880210 + ... + 2880366.

Almost surely, 2^452205216 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 452205216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660726612).

452205216 is an abundant number, since it is smaller than the sum of its proper divisors (869248008).

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

452205216 is a wasteful number, since it uses less digits than its factorization.

452205216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 452205216 is about 21265.1173521333. The cubic root of 452205216 is about 767.5591545475.

The spelling of 452205216 in words is "four hundred fifty-two million, two hundred five thousand, two hundred sixteen".