It is a tau number, because it is divible by the number of its divisors (384).
It is a harmonic number, since the harmonic mean of its divisors is an integer.
45532800 is an admirable number.
It is an unprimeable number.
Almost surely, 245532800 is an apocalyptic number.
45532800 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 45532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45532800 is a wasteful number, since it uses less digits than its factorization.
45532800 is an odious number, because the sum of its binary digits is odd.
The square root of 45532800 is about 6747.7996413646. The cubic root of 45532800 is about 357.0876135505.
The spelling of 45532800 in words is "forty-five million, five hundred thirty-two thousand, eight hundred".