45563220 has 72 divisors (see below), whose sum is σ = 138869640. Its totient is φ = 12092160.

The previous prime is 45563209. The next prime is 45563251. The reversal of 45563220 is 2236554.

45563220 is a `hidden beast` number, since 4 + 5 + 5 + 632 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 646416 + 44916804 = 804^2 + 6702^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47950 + ... + 48890.

It is an arithmetic number, because the mean of its divisors is an integer number (1928745).

Almost surely, 2^45563220 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 45563220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69434820).

45563220 is an abundant number, since it is smaller than the sum of its proper divisors (93306420).

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

45563220 is a wasteful number, since it uses less digits than its factorization.

45563220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45563220 is about 6750.0533331226. The cubic root of 45563220 is about 357.1671180471.

Adding to 45563220 its reverse (2236554), we get a palindrome (47799774).

It can be divided in two parts, 4556 and 3220, that added together give a 5-th power (7776 = 6⁵).

The spelling of 45563220 in words is "forty-five million, five hundred sixty-three thousand, two hundred twenty".