45005600 has 72 divisors (see below), whose sum is σ = 111156948. Its totient is φ = 17792000.

The previous prime is 45005561. The next prime is 45005603. The reversal of 45005600 is 650054.

45005600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 18421264 + 26584336 = 4292^2 + 5156^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (45005603) 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 11 ways as a sum of consecutive naturals, for example, 80522 + ... + 81078.

Almost surely, 2^45005600 is an apocalyptic number.

45005600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55578474).

45005600 is an abundant number, since it is smaller than the sum of its proper divisors (66151348).

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

45005600 is a wasteful number, since it uses less digits than its factorization.

45005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 45005600 is about 6708.6213188702. The cubic root of 45005600 is about 355.7040843574.

Adding to 45005600 its reverse (650054), we get a palindrome (45655654).

The spelling of 45005600 in words is "forty-five million, five thousand, six hundred".