45532800 has 384 divisors, whose sum is σ = 182131200. Its totient is φ = 11059200.

The previous prime is 45532771. The next prime is 45532811. The reversal of 45532800 is 823554.

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 a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 1468785 + ... + 1468815.

It is an arithmetic number, because the mean of its divisors is an integer number (474300).

Almost surely, 2^45532800 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).

45532800 is an abundant number, since it is smaller than the sum of its proper divisors (136598400).

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 sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

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".