545795200 has 192 divisors, whose sum is σ = 1457049600. Its totient is φ = 201277440.

The previous prime is 545795191. The next prime is 545795209. The reversal of 545795200 is 2597545.

It is an interprime number because it is at equal distance from previous prime (545795191) and next prime (545795209).

It is a self number, because there is not a number n which added to its sum of digits gives 545795200.

It is not an unprimeable number, because it can be changed into a prime (545795209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4297537 + ... + 4297663.

It is an arithmetic number, because the mean of its divisors is an integer number (7588800).

Almost surely, 2^545795200 is an apocalyptic number.

545795200 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 545795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728524800).

545795200 is an abundant number, since it is smaller than the sum of its proper divisors (911254400).

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

545795200 is a wasteful number, since it uses less digits than its factorization.

545795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 545795200 is about 23362.2601646330. The cubic root of 545795200 is about 817.2279985523.

The spelling of 545795200 in words is "five hundred forty-five million, seven hundred ninety-five thousand, two hundred".