45064800 has 216 divisors, whose sum is σ = 173660760. Its totient is φ = 10905600.

The previous prime is 45064769. The next prime is 45064819. The reversal of 45064800 is 846054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78916 + ... + 79484.

It is an arithmetic number, because the mean of its divisors is an integer number (803985).

Almost surely, 2^45064800 is an apocalyptic number.

45064800 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 45064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86830380).

45064800 is an abundant number, since it is smaller than the sum of its proper divisors (128595960).

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

45064800 is a wasteful number, since it uses less digits than its factorization.

45064800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45064800 is about 6713.0321018151. The cubic root of 45064800 is about 355.8599794423.

It can be divided in two parts, 450 and 64800, that multiplied together give a square (29160000 = 5400²).

The spelling of 45064800 in words is "forty-five million, sixty-four thousand, eight hundred".