45305600 has 54 divisors (see below), whose sum is σ = 112154280. Its totient is φ = 18119680.

The previous prime is 45305593. The next prime is 45305621. The reversal of 45305600 is 650354.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2861 + ... + 9939.

Almost surely, 2^45305600 is an apocalyptic number.

45305600 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 45305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56077140).

45305600 is an abundant number, since it is smaller than the sum of its proper divisors (66848680).

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

45305600 is an equidigital number, since it uses as much as digits as its factorization.

45305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7105 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 45305600 is about 6730.9434702722. The cubic root of 45305600 is about 356.4926898712.

Adding to 45305600 its reverse (650354), we get a palindrome (45955954).

The spelling of 45305600 in words is "forty-five million, three hundred five thousand, six hundred".