543782400 has 540 divisors, whose sum is σ = 2219783148. Its totient is φ = 116981760.

The previous prime is 543782389. The next prime is 543782401. The reversal of 543782400 is 4287345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (543782401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 31987192 + ... + 31987208.

Almost surely, 2^543782400 is an apocalyptic number.

543782400 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 543782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109891574).

543782400 is an abundant number, since it is smaller than the sum of its proper divisors (1676000748).

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

543782400 is a wasteful number, since it uses less digits than its factorization.

543782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 543782400 is about 23319.1423512959. The cubic root of 543782400 is about 816.2221617316. Note that the first 3 decimals are identical.

The spelling of 543782400 in words is "five hundred forty-three million, seven hundred eighty-two thousand, four hundred".