545320800 has 432 divisors, whose sum is σ = 2083929120. Its totient is φ = 133816320.

The previous prime is 545320793. The next prime is 545320813. The reversal of 545320800 is 8023545.

545320800 is a `hidden beast` number, since 5 + 453 + 208 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 6127156 + ... + 6127244.

It is an arithmetic number, because the mean of its divisors is an integer number (4823910).

Almost surely, 2^545320800 is an apocalyptic number.

545320800 is a gapful number since it is divisible by the number (50) 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 545320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041964560).

545320800 is an abundant number, since it is smaller than the sum of its proper divisors (1538608320).

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

545320800 is a wasteful number, since it uses less digits than its factorization.

545320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

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

The square root of 545320800 is about 23352.1048301861. The cubic root of 545320800 is about 816.9911543153.

The spelling of 545320800 in words is "five hundred forty-five million, three hundred twenty thousand, eight hundred".