45564220 has 48 divisors (see below), whose sum is σ = 106616160. Its totient is φ = 16240896.

The previous prime is 45564217. The next prime is 45564227. The reversal of 45564220 is 2246554.

45564220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45564227) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4519 + ... + 10561.

It is an arithmetic number, because the mean of its divisors is an integer number (2221170).

Almost surely, 2^45564220 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 45564220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53308080).

45564220 is an abundant number, since it is smaller than the sum of its proper divisors (61051940).

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

45564220 is a wasteful number, since it uses less digits than its factorization.

45564220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094 (or 6092 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 45564220 is about 6750.1274062050. The cubic root of 45564220 is about 357.1697310063.

The spelling of 45564220 in words is "forty-five million, five hundred sixty-four thousand, two hundred twenty".