543840000 has 360 divisors, whose sum is σ = 1992262272. Its totient is φ = 130560000.

The previous prime is 543839977. The next prime is 543840007. The reversal of 543840000 is 48345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (543840007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5279949 + ... + 5280051.

Almost surely, 2^543840000 is an apocalyptic number.

543840000 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 543840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996131136).

543840000 is an abundant number, since it is smaller than the sum of its proper divisors (1448422272).

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

543840000 is a wasteful number, since it uses less digits than its factorization.

543840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 543840000 is about 23320.3773554375. The cubic root of 543840000 is about 816.2509800829.

Adding to 543840000 its reverse (48345), we get a palindrome (543888345).

It can be divided in two parts, 54 and 3840000, that multiplied together give a 4-th power (207360000 = 120⁴).

The spelling of 543840000 in words is "five hundred forty-three million, eight hundred forty thousand".