545800320 has 384 divisors, whose sum is σ = 2095133040. Its totient is φ = 130056192.

The previous prime is 545800313. The next prime is 545800337. The reversal of 545800320 is 23008545.

545800320 is a `hidden beast` number, since 54 + 580 + 0 + 32 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 419102784 + 126697536 = 20472^2 + 11256^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2770462 + ... + 2770658.

Almost surely, 2^545800320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047566520).

545800320 is an abundant number, since it is smaller than the sum of its proper divisors (1549332720).

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

545800320 is a wasteful number, since it uses less digits than its factorization.

545800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

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

The square root of 545800320 is about 23362.3697428150. The cubic root of 545800320 is about 817.2305539639.

Adding to 545800320 its reverse (23008545), we get a palindrome (568808865).

The spelling of 545800320 in words is "five hundred forty-five million, eight hundred thousand, three hundred twenty".