543945600 has 576 divisors, whose sum is σ = 2264118480. Its totient is φ = 122880000.

The previous prime is 543945599. The next prime is 543945629. The reversal of 543945600 is 6549345.

It is a happy number.

543945600 is a `hidden beast` number, since 5 + 4 + 3 + 9 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5385550 + ... + 5385650.

Almost surely, 2^543945600 is an apocalyptic number.

543945600 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 543945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132059240).

543945600 is an abundant number, since it is smaller than the sum of its proper divisors (1720172880).

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

543945600 is a wasteful number, since it uses less digits than its factorization.

543945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 543945600 is about 23322.6413598460. The cubic root of 543945600 is about 816.3038084424.

The spelling of 543945600 in words is "five hundred forty-three million, nine hundred forty-five thousand, six hundred".