543725600 has 216 divisors, whose sum is σ = 1505505204. Its totient is φ = 191488000.

The previous prime is 543725599. The next prime is 543725627. The reversal of 543725600 is 6527345.

It can be written as a sum of positive squares in 6 ways, for example, as 84566416 + 459159184 = 9196^2 + 21428^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3968732 + ... + 3968868.

Almost surely, 2^543725600 is an apocalyptic number.

543725600 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 543725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752752602).

543725600 is an abundant number, since it is smaller than the sum of its proper divisors (961779604).

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

543725600 is a wasteful number, since it uses less digits than its factorization.

543725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 543725600 is about 23317.9244359355. The cubic root of 543725600 is about 816.1937416424.

The spelling of 543725600 in words is "five hundred forty-three million, seven hundred twenty-five thousand, six hundred".