45305120 has 96 divisors (see below), whose sum is σ = 128822400. Its totient is φ = 14708736.

The previous prime is 45305093. The next prime is 45305129. The reversal of 45305120 is 2150354.

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

It is a junction number, because it is equal to n+sod(n) for n = 45305092 and 45305101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45305129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20216 + ... + 22344.

It is an arithmetic number, because the mean of its divisors is an integer number (1341900).

Almost surely, 2^45305120 is an apocalyptic number.

45305120 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 45305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64411200).

45305120 is an abundant number, since it is smaller than the sum of its proper divisors (83517280).

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

45305120 is a wasteful number, since it uses less digits than its factorization.

45305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2162 counting only the distinct ones).

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

The square root of 45305120 is about 6730.9078139579. The cubic root of 45305120 is about 356.4914308871.

45305120 divided by its sum of digits (20) gives a triangular number (2265256 = T₂₁₂₈).

Adding to 45305120 its reverse (2150354), we get a palindrome (47455474).

The spelling of 45305120 in words is "forty-five million, three hundred five thousand, one hundred twenty".